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Finding the Fourth Proportional to 206,781.52, 309,922.02 and 94,307.80

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Solution

The fourth proportional to 206,781.52, 309,922.02 and 94,307.80 is: 141,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,781.52 : 309,922.02 = 94,307.80 : x
  2. Step 2: Convert to fraction form
    206,781.52/309,922.02 = 94,307.80/x
  3. Step 3: Cross multiply
    206,781.52x = 309,922.02 × 94,307.80
  4. Step 4: Simplify right side
    206,781.52x = 29,228,063,877.76
  5. Step 5: Solve for x
    x = 29,228,063,877.76/206,781.52
  6. Step 6: Final answer
    x = 141,347.56

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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.