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Finding the Fourth Proportional to 209,306.52, 313,959.84 and 61,562.52

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Solution

The fourth proportional to 209,306.52, 313,959.84 and 61,562.52 is: 92,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,306.52 : 313,959.84 = 61,562.52 : x
  2. Step 2: Convert to fraction form
    209,306.52/313,959.84 = 61,562.52/x
  3. Step 3: Cross multiply
    209,306.52x = 313,959.84 × 61,562.52
  4. Step 4: Simplify right side
    209,306.52x = 19,328,158,929.20
  5. Step 5: Solve for x
    x = 19,328,158,929.20/209,306.52
  6. Step 6: Final answer
    x = 92,343.80

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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.