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Finding the Fourth Proportional to 276,029.13, 414,043.66 and 89,040.63

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Solution

The fourth proportional to 276,029.13, 414,043.66 and 89,040.63 is: 133,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,029.13 : 414,043.66 = 89,040.63 : x
  2. Step 2: Convert to fraction form
    276,029.13/414,043.66 = 89,040.63/x
  3. Step 3: Cross multiply
    276,029.13x = 414,043.66 × 89,040.63
  4. Step 4: Simplify right side
    276,029.13x = 36,866,707,888.70
  5. Step 5: Solve for x
    x = 36,866,707,888.70/276,029.13
  6. Step 6: Final answer
    x = 133,560.93

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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.