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Finding the Fourth Proportional to 232,744.68, 349,270.11 and 127,637.46

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Solution

The fourth proportional to 232,744.68, 349,270.11 and 127,637.46 is: 191,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,744.68 : 349,270.11 = 127,637.46 : x
  2. Step 2: Convert to fraction form
    232,744.68/349,270.11 = 127,637.46/x
  3. Step 3: Cross multiply
    232,744.68x = 349,270.11 × 127,637.46
  4. Step 4: Simplify right side
    232,744.68x = 44,579,949,694.32
  5. Step 5: Solve for x
    x = 44,579,949,694.32/232,744.68
  6. Step 6: Final answer
    x = 191,540.14

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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.