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Finding the Fourth Proportional to 142,944, 214,375.68 and 59,735.04

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Solution

The fourth proportional to 142,944, 214,375.68 and 59,735.04 is: 89,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,944 : 214,375.68 = 59,735.04 : x
  2. Step 2: Convert to fraction form
    142,944/214,375.68 = 59,735.04/x
  3. Step 3: Cross multiply
    142,944x = 214,375.68 × 59,735.04
  4. Step 4: Simplify right side
    142,944x = 12,805,739,819.83
  5. Step 5: Solve for x
    x = 12,805,739,819.83/142,944
  6. Step 6: Final answer
    x = 89,585.71

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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.