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Finding the Fourth Proportional to 142,291.27, 213,429.21 and 72,168.76

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Solution

The fourth proportional to 142,291.27, 213,429.21 and 72,168.76 is: 108,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,291.27 : 213,429.21 = 72,168.76 : x
  2. Step 2: Convert to fraction form
    142,291.27/213,429.21 = 72,168.76/x
  3. Step 3: Cross multiply
    142,291.27x = 213,429.21 × 72,168.76
  4. Step 4: Simplify right side
    142,291.27x = 15,402,921,433.48
  5. Step 5: Solve for x
    x = 15,402,921,433.48/142,291.27
  6. Step 6: Final answer
    x = 108,249.24

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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.