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Finding the Fourth Proportional to 224,489.69, 336,661.92 and 74,689.76

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Solution

The fourth proportional to 224,489.69, 336,661.92 and 74,689.76 is: 112,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,489.69 : 336,661.92 = 74,689.76 : x
  2. Step 2: Convert to fraction form
    224,489.69/336,661.92 = 74,689.76/x
  3. Step 3: Cross multiply
    224,489.69x = 336,661.92 × 74,689.76
  4. Step 4: Simplify right side
    224,489.69x = 25,145,198,005.94
  5. Step 5: Solve for x
    x = 25,145,198,005.94/224,489.69
  6. Step 6: Final answer
    x = 112,010.48

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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.