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Finding the Fourth Proportional to 214,545.92, 296,072.42 and 119,052.38

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Solution

The fourth proportional to 214,545.92, 296,072.42 and 119,052.38 is: 164,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,545.92 : 296,072.42 = 119,052.38 : x
  2. Step 2: Convert to fraction form
    214,545.92/296,072.42 = 119,052.38/x
  3. Step 3: Cross multiply
    214,545.92x = 296,072.42 × 119,052.38
  4. Step 4: Simplify right side
    214,545.92x = 35,248,126,398.28
  5. Step 5: Solve for x
    x = 35,248,126,398.28/214,545.92
  6. Step 6: Final answer
    x = 164,291.76

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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.