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Finding the Fourth Proportional to 142,081.99, 213,121.13 and 40,882.68

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Solution

The fourth proportional to 142,081.99, 213,121.13 and 40,882.68 is: 61,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,081.99 : 213,121.13 = 40,882.68 : x
  2. Step 2: Convert to fraction form
    142,081.99/213,121.13 = 40,882.68/x
  3. Step 3: Cross multiply
    142,081.99x = 213,121.13 × 40,882.68
  4. Step 4: Simplify right side
    142,081.99x = 8,712,962,754.62
  5. Step 5: Solve for x
    x = 8,712,962,754.62/142,081.99
  6. Step 6: Final answer
    x = 61,323.49

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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.