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Finding the Fourth Proportional to 157,034.50, 216,712.06 and 85,419.10

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Solution

The fourth proportional to 157,034.50, 216,712.06 and 85,419.10 is: 117,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,034.50 : 216,712.06 = 85,419.10 : x
  2. Step 2: Convert to fraction form
    157,034.50/216,712.06 = 85,419.10/x
  3. Step 3: Cross multiply
    157,034.50x = 216,712.06 × 85,419.10
  4. Step 4: Simplify right side
    157,034.50x = 18,511,349,124.35
  5. Step 5: Solve for x
    x = 18,511,349,124.35/157,034.50
  6. Step 6: Final answer
    x = 117,880.78

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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.