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Finding the Fourth Proportional to 150,503.96, 207,836.06 and 96,882.17

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Solution

The fourth proportional to 150,503.96, 207,836.06 and 96,882.17 is: 133,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,503.96 : 207,836.06 = 96,882.17 : x
  2. Step 2: Convert to fraction form
    150,503.96/207,836.06 = 96,882.17/x
  3. Step 3: Cross multiply
    150,503.96x = 207,836.06 × 96,882.17
  4. Step 4: Simplify right side
    150,503.96x = 20,135,606,973.46
  5. Step 5: Solve for x
    x = 20,135,606,973.46/150,503.96
  6. Step 6: Final answer
    x = 133,787.89

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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.