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Finding the Fourth Proportional to 216,702.20, 324,972.46 and 74,507.24

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Solution

The fourth proportional to 216,702.20, 324,972.46 and 74,507.24 is: 111,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,702.20 : 324,972.46 = 74,507.24 : x
  2. Step 2: Convert to fraction form
    216,702.20/324,972.46 = 74,507.24/x
  3. Step 3: Cross multiply
    216,702.20x = 324,972.46 × 74,507.24
  4. Step 4: Simplify right side
    216,702.20x = 24,212,801,070.61
  5. Step 5: Solve for x
    x = 24,212,801,070.61/216,702.20
  6. Step 6: Final answer
    x = 111,733.07

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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.