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Finding the Fourth Proportional to 232,549.20, 348,046.20 and 162,565.20

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Solution

The fourth proportional to 232,549.20, 348,046.20 and 162,565.20 is: 243,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,549.20 : 348,046.20 = 162,565.20 : x
  2. Step 2: Convert to fraction form
    232,549.20/348,046.20 = 162,565.20/x
  3. Step 3: Cross multiply
    232,549.20x = 348,046.20 × 162,565.20
  4. Step 4: Simplify right side
    232,549.20x = 56,580,200,112.24
  5. Step 5: Solve for x
    x = 56,580,200,112.24/232,549.20
  6. Step 6: Final answer
    x = 243,304.21

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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.