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Finding the Fourth Proportional to 86,204.16, 118,964.10 and 52,205.46

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Solution

The fourth proportional to 86,204.16, 118,964.10 and 52,205.46 is: 72,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,204.16 : 118,964.10 = 52,205.46 : x
  2. Step 2: Convert to fraction form
    86,204.16/118,964.10 = 52,205.46/x
  3. Step 3: Cross multiply
    86,204.16x = 118,964.10 × 52,205.46
  4. Step 4: Simplify right side
    86,204.16x = 6,210,575,563.99
  5. Step 5: Solve for x
    x = 6,210,575,563.99/86,204.16
  6. Step 6: Final answer
    x = 72,044.96

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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.