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Finding the Fourth Proportional to 180,781.88, 249,452.80 and 100,209.38

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Solution

The fourth proportional to 180,781.88, 249,452.80 and 100,209.38 is: 138,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,781.88 : 249,452.80 = 100,209.38 : x
  2. Step 2: Convert to fraction form
    180,781.88/249,452.80 = 100,209.38/x
  3. Step 3: Cross multiply
    180,781.88x = 249,452.80 × 100,209.38
  4. Step 4: Simplify right side
    180,781.88x = 24,997,508,929.48
  5. Step 5: Solve for x
    x = 24,997,508,929.48/180,781.88
  6. Step 6: Final answer
    x = 138,274.42

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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.