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Finding the Fourth Proportional to 242,954.52, 335,306.48 and 142,352.52

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Solution

The fourth proportional to 242,954.52, 335,306.48 and 142,352.52 is: 196,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,954.52 : 335,306.48 = 142,352.52 : x
  2. Step 2: Convert to fraction form
    242,954.52/335,306.48 = 142,352.52/x
  3. Step 3: Cross multiply
    242,954.52x = 335,306.48 × 142,352.52
  4. Step 4: Simplify right side
    242,954.52x = 47,731,722,400.33
  5. Step 5: Solve for x
    x = 47,731,722,400.33/242,954.52
  6. Step 6: Final answer
    x = 196,463.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.