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Finding the Fourth Proportional to 68,337.20, 102,409.80 and 54,321.20

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Solution

The fourth proportional to 68,337.20, 102,409.80 and 54,321.20 is: 81,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,337.20 : 102,409.80 = 54,321.20 : x
  2. Step 2: Convert to fraction form
    68,337.20/102,409.80 = 54,321.20/x
  3. Step 3: Cross multiply
    68,337.20x = 102,409.80 × 54,321.20
  4. Step 4: Simplify right side
    68,337.20x = 5,563,023,227.76
  5. Step 5: Solve for x
    x = 5,563,023,227.76/68,337.20
  6. Step 6: Final answer
    x = 81,405.49

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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.