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Finding the Fourth Proportional to 157,037.49, 216,712.38 and 85,417.95

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Solution

The fourth proportional to 157,037.49, 216,712.38 and 85,417.95 is: 117,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,037.49 : 216,712.38 = 85,417.95 : x
  2. Step 2: Convert to fraction form
    157,037.49/216,712.38 = 85,417.95/x
  3. Step 3: Cross multiply
    157,037.49x = 216,712.38 × 85,417.95
  4. Step 4: Simplify right side
    157,037.49x = 18,511,126,812.13
  5. Step 5: Solve for x
    x = 18,511,126,812.13/157,037.49
  6. Step 6: Final answer
    x = 117,877.12

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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.