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Finding the Fourth Proportional to 157,865.80, 236,597.10 and 64,265.80

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Solution

The fourth proportional to 157,865.80, 236,597.10 and 64,265.80 is: 96,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,865.80 : 236,597.10 = 64,265.80 : x
  2. Step 2: Convert to fraction form
    157,865.80/236,597.10 = 64,265.80/x
  3. Step 3: Cross multiply
    157,865.80x = 236,597.10 × 64,265.80
  4. Step 4: Simplify right side
    157,865.80x = 15,205,101,909.18
  5. Step 5: Solve for x
    x = 15,205,101,909.18/157,865.80
  6. Step 6: Final answer
    x = 96,316.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.