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Finding the Fourth Proportional to 113,902.62, 157,187.31 and 66,156

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Solution

The fourth proportional to 113,902.62, 157,187.31 and 66,156 is: 91,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,902.62 : 157,187.31 = 66,156 : x
  2. Step 2: Convert to fraction form
    113,902.62/157,187.31 = 66,156/x
  3. Step 3: Cross multiply
    113,902.62x = 157,187.31 × 66,156
  4. Step 4: Simplify right side
    113,902.62x = 10,398,883,680.36
  5. Step 5: Solve for x
    x = 10,398,883,680.36/113,902.62
  6. Step 6: Final answer
    x = 91,296.26

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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.