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Finding the Fourth Proportional to 157,432.14, 217,249.70 and 85,810.46

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Solution

The fourth proportional to 157,432.14, 217,249.70 and 85,810.46 is: 118,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,432.14 : 217,249.70 = 85,810.46 : x
  2. Step 2: Convert to fraction form
    157,432.14/217,249.70 = 85,810.46/x
  3. Step 3: Cross multiply
    157,432.14x = 217,249.70 × 85,810.46
  4. Step 4: Simplify right side
    157,432.14x = 18,642,295,176.56
  5. Step 5: Solve for x
    x = 18,642,295,176.56/157,432.14
  6. Step 6: Final answer
    x = 118,414.80

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