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Finding the Fourth Proportional to 183,001.92, 252,542.56 and 102,429.42

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Solution

The fourth proportional to 183,001.92, 252,542.56 and 102,429.42 is: 141,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,001.92 : 252,542.56 = 102,429.42 : x
  2. Step 2: Convert to fraction form
    183,001.92/252,542.56 = 102,429.42/x
  3. Step 3: Cross multiply
    183,001.92x = 252,542.56 × 102,429.42
  4. Step 4: Simplify right side
    183,001.92x = 25,867,787,946.12
  5. Step 5: Solve for x
    x = 25,867,787,946.12/183,001.92
  6. Step 6: Final answer
    x = 141,352.55

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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.