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Finding the Fourth Proportional to 232,687.31, 349,048.64 and 90,471.48

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Solution

The fourth proportional to 232,687.31, 349,048.64 and 90,471.48 is: 135,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,687.31 : 349,048.64 = 90,471.48 : x
  2. Step 2: Convert to fraction form
    232,687.31/349,048.64 = 90,471.48/x
  3. Step 3: Cross multiply
    232,687.31x = 349,048.64 × 90,471.48
  4. Step 4: Simplify right side
    232,687.31x = 31,578,947,933.43
  5. Step 5: Solve for x
    x = 31,578,947,933.43/232,687.31
  6. Step 6: Final answer
    x = 135,714.10

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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.