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Finding the Fourth Proportional to 515,854.20, 773,781.30 and 141,877.20

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Solution

The fourth proportional to 515,854.20, 773,781.30 and 141,877.20 is: 212,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,854.20 : 773,781.30 = 141,877.20 : x
  2. Step 2: Convert to fraction form
    515,854.20/773,781.30 = 141,877.20/x
  3. Step 3: Cross multiply
    515,854.20x = 773,781.30 × 141,877.20
  4. Step 4: Simplify right side
    515,854.20x = 109,781,924,256.36
  5. Step 5: Solve for x
    x = 109,781,924,256.36/515,854.20
  6. Step 6: Final answer
    x = 212,815.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.