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Finding the Fourth Proportional to 234,002.34, 322,923.30 and 132,049.47

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Solution

The fourth proportional to 234,002.34, 322,923.30 and 132,049.47 is: 182,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,002.34 : 322,923.30 = 132,049.47 : x
  2. Step 2: Convert to fraction form
    234,002.34/322,923.30 = 132,049.47/x
  3. Step 3: Cross multiply
    234,002.34x = 322,923.30 × 132,049.47
  4. Step 4: Simplify right side
    234,002.34x = 42,641,850,615.65
  5. Step 5: Solve for x
    x = 42,641,850,615.65/234,002.34
  6. Step 6: Final answer
    x = 182,228.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.