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Finding the Fourth Proportional to 276,031.26, 414,046.85 and 89,042.76

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Solution

The fourth proportional to 276,031.26, 414,046.85 and 89,042.76 is: 133,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,031.26 : 414,046.85 = 89,042.76 : x
  2. Step 2: Convert to fraction form
    276,031.26/414,046.85 = 89,042.76/x
  3. Step 3: Cross multiply
    276,031.26x = 414,046.85 × 89,042.76
  4. Step 4: Simplify right side
    276,031.26x = 36,867,873,848.09
  5. Step 5: Solve for x
    x = 36,867,873,848.09/276,031.26
  6. Step 6: Final answer
    x = 133,564.13

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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.