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Finding the Fourth Proportional to 113,538.84, 156,684.78 and 71,122.32

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Solution

The fourth proportional to 113,538.84, 156,684.78 and 71,122.32 is: 98,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,538.84 : 156,684.78 = 71,122.32 : x
  2. Step 2: Convert to fraction form
    113,538.84/156,684.78 = 71,122.32/x
  3. Step 3: Cross multiply
    113,538.84x = 156,684.78 × 71,122.32
  4. Step 4: Simplify right side
    113,538.84x = 11,143,785,062.29
  5. Step 5: Solve for x
    x = 11,143,785,062.29/113,538.84
  6. Step 6: Final answer
    x = 98,149.54

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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.