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Finding the Fourth Proportional to 276,242.61, 414,363.92 and 182,726.49

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Solution

The fourth proportional to 276,242.61, 414,363.92 and 182,726.49 is: 274,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,242.61 : 414,363.92 = 182,726.49 : x
  2. Step 2: Convert to fraction form
    276,242.61/414,363.92 = 182,726.49/x
  3. Step 3: Cross multiply
    276,242.61x = 414,363.92 × 182,726.49
  4. Step 4: Simplify right side
    276,242.61x = 75,715,265,141.06
  5. Step 5: Solve for x
    x = 75,715,265,141.06/276,242.61
  6. Step 6: Final answer
    x = 274,089.74

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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.