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Finding the Fourth Proportional to 268,301.76, 402,510.72 and 81,327.36

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Solution

The fourth proportional to 268,301.76, 402,510.72 and 81,327.36 is: 122,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,301.76 : 402,510.72 = 81,327.36 : x
  2. Step 2: Convert to fraction form
    268,301.76/402,510.72 = 81,327.36/x
  3. Step 3: Cross multiply
    268,301.76x = 402,510.72 × 81,327.36
  4. Step 4: Simplify right side
    268,301.76x = 32,735,134,229.30
  5. Step 5: Solve for x
    x = 32,735,134,229.30/268,301.76
  6. Step 6: Final answer
    x = 122,008.65

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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.