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Finding the Fourth Proportional to 133,398.34, 200,107.92 and 38,629.94

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Solution

The fourth proportional to 133,398.34, 200,107.92 and 38,629.94 is: 57,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,398.34 : 200,107.92 = 38,629.94 : x
  2. Step 2: Convert to fraction form
    133,398.34/200,107.92 = 38,629.94/x
  3. Step 3: Cross multiply
    133,398.34x = 200,107.92 × 38,629.94
  4. Step 4: Simplify right side
    133,398.34x = 7,730,156,432.96
  5. Step 5: Solve for x
    x = 7,730,156,432.96/133,398.34
  6. Step 6: Final answer
    x = 57,947.92

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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.