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Finding the Fourth Proportional to 232,287.74, 320,694.49 and 146,320.41

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Solution

The fourth proportional to 232,287.74, 320,694.49 and 146,320.41 is: 202,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,287.74 : 320,694.49 = 146,320.41 : x
  2. Step 2: Convert to fraction form
    232,287.74/320,694.49 = 146,320.41/x
  3. Step 3: Cross multiply
    232,287.74x = 320,694.49 × 146,320.41
  4. Step 4: Simplify right side
    232,287.74x = 46,924,149,261.54
  5. Step 5: Solve for x
    x = 46,924,149,261.54/232,287.74
  6. Step 6: Final answer
    x = 202,008.72

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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.