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Finding the Fourth Proportional to 142,136.28, 213,178.77 and 36,948.78

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Solution

The fourth proportional to 142,136.28, 213,178.77 and 36,948.78 is: 55,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,136.28 : 213,178.77 = 36,948.78 : x
  2. Step 2: Convert to fraction form
    142,136.28/213,178.77 = 36,948.78/x
  3. Step 3: Cross multiply
    142,136.28x = 213,178.77 × 36,948.78
  4. Step 4: Simplify right side
    142,136.28x = 7,876,695,473.40
  5. Step 5: Solve for x
    x = 7,876,695,473.40/142,136.28
  6. Step 6: Final answer
    x = 55,416.50

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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.