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Finding the Fourth Proportional to 157,121.87, 216,832.70 and 85,506.42

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Solution

The fourth proportional to 157,121.87, 216,832.70 and 85,506.42 is: 118,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,121.87 : 216,832.70 = 85,506.42 : x
  2. Step 2: Convert to fraction form
    157,121.87/216,832.70 = 85,506.42/x
  3. Step 3: Cross multiply
    157,121.87x = 216,832.70 × 85,506.42
  4. Step 4: Simplify right side
    157,121.87x = 18,540,587,488.40
  5. Step 5: Solve for x
    x = 18,540,587,488.40/157,121.87
  6. Step 6: Final answer
    x = 118,001.32

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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.