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Finding the Fourth Proportional to 276,124.48, 413,645.42 and 143,092

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Solution

The fourth proportional to 276,124.48, 413,645.42 and 143,092 is: 214,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,124.48 : 413,645.42 = 143,092 : x
  2. Step 2: Convert to fraction form
    276,124.48/413,645.42 = 143,092/x
  3. Step 3: Cross multiply
    276,124.48x = 413,645.42 × 143,092
  4. Step 4: Simplify right side
    276,124.48x = 59,189,350,438.64
  5. Step 5: Solve for x
    x = 59,189,350,438.64/276,124.48
  6. Step 6: Final answer
    x = 214,357.49

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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.