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Finding the Fourth Proportional to 272,882.40, 409,323.60 and 85,893.90

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Solution

The fourth proportional to 272,882.40, 409,323.60 and 85,893.90 is: 128,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,882.40 : 409,323.60 = 85,893.90 : x
  2. Step 2: Convert to fraction form
    272,882.40/409,323.60 = 85,893.90/x
  3. Step 3: Cross multiply
    272,882.40x = 409,323.60 × 85,893.90
  4. Step 4: Simplify right side
    272,882.40x = 35,158,400,366.04
  5. Step 5: Solve for x
    x = 35,158,400,366.04/272,882.40
  6. Step 6: Final answer
    x = 128,840.85

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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.