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Finding the Fourth Proportional to 272,842.40, 409,263.60 and 85,853.90

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Solution

The fourth proportional to 272,842.40, 409,263.60 and 85,853.90 is: 128,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,842.40 : 409,263.60 = 85,853.90 : x
  2. Step 2: Convert to fraction form
    272,842.40/409,263.60 = 85,853.90/x
  3. Step 3: Cross multiply
    272,842.40x = 409,263.60 × 85,853.90
  4. Step 4: Simplify right side
    272,842.40x = 35,136,876,188.04
  5. Step 5: Solve for x
    x = 35,136,876,188.04/272,842.40
  6. Step 6: Final answer
    x = 128,780.85

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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.