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Finding the Fourth Proportional to 232,687.40, 349,080.70 and 132,895.40

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Solution

The fourth proportional to 232,687.40, 349,080.70 and 132,895.40 is: 199,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,687.40 : 349,080.70 = 132,895.40 : x
  2. Step 2: Convert to fraction form
    232,687.40/349,080.70 = 132,895.40/x
  3. Step 3: Cross multiply
    232,687.40x = 349,080.70 × 132,895.40
  4. Step 4: Simplify right side
    232,687.40x = 46,391,219,258.78
  5. Step 5: Solve for x
    x = 46,391,219,258.78/232,687.40
  6. Step 6: Final answer
    x = 199,371.43

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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.