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Finding the Fourth Proportional to 279,833.82, 386,123.54 and 157,309.98

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Solution

The fourth proportional to 279,833.82, 386,123.54 and 157,309.98 is: 217,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,833.82 : 386,123.54 = 157,309.98 : x
  2. Step 2: Convert to fraction form
    279,833.82/386,123.54 = 157,309.98/x
  3. Step 3: Cross multiply
    279,833.82x = 386,123.54 × 157,309.98
  4. Step 4: Simplify right side
    279,833.82x = 60,741,085,568.38
  5. Step 5: Solve for x
    x = 60,741,085,568.38/279,833.82
  6. Step 6: Final answer
    x = 217,061.27

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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.