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Finding the Fourth Proportional to 180,658.20, 249,301.20 and 100,086.98

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Solution

The fourth proportional to 180,658.20, 249,301.20 and 100,086.98 is: 138,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,658.20 : 249,301.20 = 100,086.98 : x
  2. Step 2: Convert to fraction form
    180,658.20/249,301.20 = 100,086.98/x
  3. Step 3: Cross multiply
    180,658.20x = 249,301.20 × 100,086.98
  4. Step 4: Simplify right side
    180,658.20x = 24,951,804,218.38
  5. Step 5: Solve for x
    x = 24,951,804,218.38/180,658.20
  6. Step 6: Final answer
    x = 138,116.09

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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.