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Finding the Fourth Proportional to 126,357.31, 174,331.11 and 83,358.16

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Solution

The fourth proportional to 126,357.31, 174,331.11 and 83,358.16 is: 115,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,357.31 : 174,331.11 = 83,358.16 : x
  2. Step 2: Convert to fraction form
    126,357.31/174,331.11 = 83,358.16/x
  3. Step 3: Cross multiply
    126,357.31x = 174,331.11 × 83,358.16
  4. Step 4: Simplify right side
    126,357.31x = 14,531,920,124.53
  5. Step 5: Solve for x
    x = 14,531,920,124.53/126,357.31
  6. Step 6: Final answer
    x = 115,006.57

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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.