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Finding the Fourth Proportional to 142,747.60, 214,121.40 and 44,238.80

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Solution

The fourth proportional to 142,747.60, 214,121.40 and 44,238.80 is: 66,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,747.60 : 214,121.40 = 44,238.80 : x
  2. Step 2: Convert to fraction form
    142,747.60/214,121.40 = 44,238.80/x
  3. Step 3: Cross multiply
    142,747.60x = 214,121.40 × 44,238.80
  4. Step 4: Simplify right side
    142,747.60x = 9,472,473,790.32
  5. Step 5: Solve for x
    x = 9,472,473,790.32/142,747.60
  6. Step 6: Final answer
    x = 66,358.20

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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.