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Finding the Fourth Proportional to 142,522.28, 213,781.18 and 49,028.84

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Solution

The fourth proportional to 142,522.28, 213,781.18 and 49,028.84 is: 73,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,522.28 : 213,781.18 = 49,028.84 : x
  2. Step 2: Convert to fraction form
    142,522.28/213,781.18 = 49,028.84/x
  3. Step 3: Cross multiply
    142,522.28x = 213,781.18 × 49,028.84
  4. Step 4: Simplify right side
    142,522.28x = 10,481,443,269.23
  5. Step 5: Solve for x
    x = 10,481,443,269.23/142,522.28
  6. Step 6: Final answer
    x = 73,542.49

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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.