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Finding the Fourth Proportional to 141,761.60, 212,350.80 and 71,680.40

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Solution

The fourth proportional to 141,761.60, 212,350.80 and 71,680.40 is: 107,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,761.60 : 212,350.80 = 71,680.40 : x
  2. Step 2: Convert to fraction form
    141,761.60/212,350.80 = 71,680.40/x
  3. Step 3: Cross multiply
    141,761.60x = 212,350.80 × 71,680.40
  4. Step 4: Simplify right side
    141,761.60x = 15,221,390,284.32
  5. Step 5: Solve for x
    x = 15,221,390,284.32/141,761.60
  6. Step 6: Final answer
    x = 107,373.16

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Why These Related Problems?

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