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Finding the Fourth Proportional to 157,036.70, 216,714.21 and 85,420.55

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Solution

The fourth proportional to 157,036.70, 216,714.21 and 85,420.55 is: 117,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,036.70 : 216,714.21 = 85,420.55 : x
  2. Step 2: Convert to fraction form
    157,036.70/216,714.21 = 85,420.55/x
  3. Step 3: Cross multiply
    157,036.70x = 216,714.21 × 85,420.55
  4. Step 4: Simplify right side
    157,036.70x = 18,511,847,011.02
  5. Step 5: Solve for x
    x = 18,511,847,011.02/157,036.70
  6. Step 6: Final answer
    x = 117,882.30

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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.