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Finding the Fourth Proportional to 272,848.40, 409,272.60 and 85,859.90

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Solution

The fourth proportional to 272,848.40, 409,272.60 and 85,859.90 is: 128,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,848.40 : 409,272.60 = 85,859.90 : x
  2. Step 2: Convert to fraction form
    272,848.40/409,272.60 = 85,859.90/x
  3. Step 3: Cross multiply
    272,848.40x = 409,272.60 × 85,859.90
  4. Step 4: Simplify right side
    272,848.40x = 35,140,104,508.74
  5. Step 5: Solve for x
    x = 35,140,104,508.74/272,848.40
  6. Step 6: Final answer
    x = 128,789.85

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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.