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Finding the Fourth Proportional to 164,503.92, 227,019.78 and 99,951.24

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Solution

The fourth proportional to 164,503.92, 227,019.78 and 99,951.24 is: 137,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,503.92 : 227,019.78 = 99,951.24 : x
  2. Step 2: Convert to fraction form
    164,503.92/227,019.78 = 99,951.24/x
  3. Step 3: Cross multiply
    164,503.92x = 227,019.78 × 99,951.24
  4. Step 4: Simplify right side
    164,503.92x = 22,690,908,515.53
  5. Step 5: Solve for x
    x = 22,690,908,515.53/164,503.92
  6. Step 6: Final answer
    x = 137,935.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.