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Finding the Fourth Proportional to 261,027.40, 391,541.10 and 178,083.40

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Solution

The fourth proportional to 261,027.40, 391,541.10 and 178,083.40 is: 267,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,027.40 : 391,541.10 = 178,083.40 : x
  2. Step 2: Convert to fraction form
    261,027.40/391,541.10 = 178,083.40/x
  3. Step 3: Cross multiply
    261,027.40x = 391,541.10 × 178,083.40
  4. Step 4: Simplify right side
    261,027.40x = 69,726,970,327.74
  5. Step 5: Solve for x
    x = 69,726,970,327.74/261,027.40
  6. Step 6: Final answer
    x = 267,125.10

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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.