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Finding the Fourth Proportional to 142,717.80, 214,101.46 and 47,957.24

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Solution

The fourth proportional to 142,717.80, 214,101.46 and 47,957.24 is: 71,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,717.80 : 214,101.46 = 47,957.24 : x
  2. Step 2: Convert to fraction form
    142,717.80/214,101.46 = 47,957.24/x
  3. Step 3: Cross multiply
    142,717.80x = 214,101.46 × 47,957.24
  4. Step 4: Simplify right side
    142,717.80x = 10,267,715,101.57
  5. Step 5: Solve for x
    x = 10,267,715,101.57/142,717.80
  6. Step 6: Final answer
    x = 71,944.18

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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.