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Finding the Fourth Proportional to 234,000.84, 322,921.23 and 132,047.97

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Solution

The fourth proportional to 234,000.84, 322,921.23 and 132,047.97 is: 182,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,000.84 : 322,921.23 = 132,047.97 : x
  2. Step 2: Convert to fraction form
    234,000.84/322,921.23 = 132,047.97/x
  3. Step 3: Cross multiply
    234,000.84x = 322,921.23 × 132,047.97
  4. Step 4: Simplify right side
    234,000.84x = 42,641,092,891.40
  5. Step 5: Solve for x
    x = 42,641,092,891.40/234,000.84
  6. Step 6: Final answer
    x = 182,226.24

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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.