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Finding the Fourth Proportional to 159,860,811.12, 220,613,267.16 and 97,969,197.12

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Solution

The fourth proportional to 159,860,811.12, 220,613,267.16 and 97,969,197.12 is: 135,200,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,860,811.12 : 220,613,267.16 = 97,969,197.12 : x
  2. Step 2: Convert to fraction form
    159,860,811.12/220,613,267.16 = 97,969,197.12/x
  3. Step 3: Cross multiply
    159,860,811.12x = 220,613,267.16 × 97,969,197.12
  4. Step 4: Simplify right side
    159,860,811.12x = 21,613,304,657,685,264
  5. Step 5: Solve for x
    x = 21,613,304,657,685,264/159,860,811.12
  6. Step 6: Final answer
    x = 135,200,769.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.