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Finding the Fourth Proportional to 313,178.92, 469,709.34 and 88,537.57

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Solution

The fourth proportional to 313,178.92, 469,709.34 and 88,537.57 is: 132,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,178.92 : 469,709.34 = 88,537.57 : x
  2. Step 2: Convert to fraction form
    313,178.92/469,709.34 = 88,537.57/x
  3. Step 3: Cross multiply
    313,178.92x = 469,709.34 × 88,537.57
  4. Step 4: Simplify right side
    313,178.92x = 41,586,923,569.90
  5. Step 5: Solve for x
    x = 41,586,923,569.90/313,178.92
  6. Step 6: Final answer
    x = 132,789.66

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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.