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Finding the Fourth Proportional to 113,655.34, 156,780.12 and 71,140.06

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Solution

The fourth proportional to 113,655.34, 156,780.12 and 71,140.06 is: 98,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,655.34 : 156,780.12 = 71,140.06 : x
  2. Step 2: Convert to fraction form
    113,655.34/156,780.12 = 71,140.06/x
  3. Step 3: Cross multiply
    113,655.34x = 156,780.12 × 71,140.06
  4. Step 4: Simplify right side
    113,655.34x = 11,153,347,143.61
  5. Step 5: Solve for x
    x = 11,153,347,143.61/113,655.34
  6. Step 6: Final answer
    x = 98,133.07

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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.