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Finding the Fourth Proportional to 261,032.60, 391,257.30 and 148,766.60

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Solution

The fourth proportional to 261,032.60, 391,257.30 and 148,766.60 is: 222,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,032.60 : 391,257.30 = 148,766.60 : x
  2. Step 2: Convert to fraction form
    261,032.60/391,257.30 = 148,766.60/x
  3. Step 3: Cross multiply
    261,032.60x = 391,257.30 × 148,766.60
  4. Step 4: Simplify right side
    261,032.60x = 58,206,018,246.18
  5. Step 5: Solve for x
    x = 58,206,018,246.18/261,032.60
  6. Step 6: Final answer
    x = 222,983.71

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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.