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Finding the Fourth Proportional to 120,440.10, 180,665.01 and 31,702.56

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Solution

The fourth proportional to 120,440.10, 180,665.01 and 31,702.56 is: 47,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,440.10 : 180,665.01 = 31,702.56 : x
  2. Step 2: Convert to fraction form
    120,440.10/180,665.01 = 31,702.56/x
  3. Step 3: Cross multiply
    120,440.10x = 180,665.01 × 31,702.56
  4. Step 4: Simplify right side
    120,440.10x = 5,727,543,319.43
  5. Step 5: Solve for x
    x = 5,727,543,319.43/120,440.10
  6. Step 6: Final answer
    x = 47,555.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.