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Finding the Fourth Proportional to 180,898.38, 249,654.72 and 100,351.92

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Solution

The fourth proportional to 180,898.38, 249,654.72 and 100,351.92 is: 138,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,898.38 : 249,654.72 = 100,351.92 : x
  2. Step 2: Convert to fraction form
    180,898.38/249,654.72 = 100,351.92/x
  3. Step 3: Cross multiply
    180,898.38x = 249,654.72 × 100,351.92
  4. Step 4: Simplify right side
    180,898.38x = 25,053,330,489.06
  5. Step 5: Solve for x
    x = 25,053,330,489.06/180,898.38
  6. Step 6: Final answer
    x = 138,493.95

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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.