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Finding the Fourth Proportional to 313,141.57, 469,743.10 and 88,503.73

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Solution

The fourth proportional to 313,141.57, 469,743.10 and 88,503.73 is: 132,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,141.57 : 469,743.10 = 88,503.73 : x
  2. Step 2: Convert to fraction form
    313,141.57/469,743.10 = 88,503.73/x
  3. Step 3: Cross multiply
    313,141.57x = 469,743.10 × 88,503.73
  4. Step 4: Simplify right side
    313,141.57x = 41,574,015,096.15
  5. Step 5: Solve for x
    x = 41,574,015,096.15/313,141.57
  6. Step 6: Final answer
    x = 132,764.28

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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.