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Finding the Fourth Proportional to 232,375.87, 320,647.98 and 130,397.41

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Solution

The fourth proportional to 232,375.87, 320,647.98 and 130,397.41 is: 179,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,375.87 : 320,647.98 = 130,397.41 : x
  2. Step 2: Convert to fraction form
    232,375.87/320,647.98 = 130,397.41/x
  3. Step 3: Cross multiply
    232,375.87x = 320,647.98 × 130,397.41
  4. Step 4: Simplify right side
    232,375.87x = 41,811,666,113.73
  5. Step 5: Solve for x
    x = 41,811,666,113.73/232,375.87
  6. Step 6: Final answer
    x = 179,931.19

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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.