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Finding the Fourth Proportional to 276,047.76, 414,024.66 and 89,059.26

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Solution

The fourth proportional to 276,047.76, 414,024.66 and 89,059.26 is: 133,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,047.76 : 414,024.66 = 89,059.26 : x
  2. Step 2: Convert to fraction form
    276,047.76/414,024.66 = 89,059.26/x
  3. Step 3: Cross multiply
    276,047.76x = 414,024.66 × 89,059.26
  4. Step 4: Simplify right side
    276,047.76x = 36,872,729,841.35
  5. Step 5: Solve for x
    x = 36,872,729,841.35/276,047.76
  6. Step 6: Final answer
    x = 133,573.73

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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.