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Finding the Fourth Proportional to 234,009.64, 350,732.48 and 107,475.29

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Solution

The fourth proportional to 234,009.64, 350,732.48 and 107,475.29 is: 161,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,009.64 : 350,732.48 = 107,475.29 : x
  2. Step 2: Convert to fraction form
    234,009.64/350,732.48 = 107,475.29/x
  3. Step 3: Cross multiply
    234,009.64x = 350,732.48 × 107,475.29
  4. Step 4: Simplify right side
    234,009.64x = 37,695,072,709.38
  5. Step 5: Solve for x
    x = 37,695,072,709.38/234,009.64
  6. Step 6: Final answer
    x = 161,083.42

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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.