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Finding the Fourth Proportional to 261,149.20, 391,853.40 and 148,915.60

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Solution

The fourth proportional to 261,149.20, 391,853.40 and 148,915.60 is: 223,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,149.20 : 391,853.40 = 148,915.60 : x
  2. Step 2: Convert to fraction form
    261,149.20/391,853.40 = 148,915.60/x
  3. Step 3: Cross multiply
    261,149.20x = 391,853.40 × 148,915.60
  4. Step 4: Simplify right side
    261,149.20x = 58,353,084,173.04
  5. Step 5: Solve for x
    x = 58,353,084,173.04/261,149.20
  6. Step 6: Final answer
    x = 223,447.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.