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Finding the Fourth Proportional to 261,092.60, 391,347.30 and 148,826.60

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Solution

The fourth proportional to 261,092.60, 391,347.30 and 148,826.60 is: 223,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,092.60 : 391,347.30 = 148,826.60 : x
  2. Step 2: Convert to fraction form
    261,092.60/391,347.30 = 148,826.60/x
  3. Step 3: Cross multiply
    261,092.60x = 391,347.30 × 148,826.60
  4. Step 4: Simplify right side
    261,092.60x = 58,242,888,078.18
  5. Step 5: Solve for x
    x = 58,242,888,078.18/261,092.60
  6. Step 6: Final answer
    x = 223,073.68

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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.