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Finding the Fourth Proportional to 276,040.80, 414,148.68 and 98,543.88

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Solution

The fourth proportional to 276,040.80, 414,148.68 and 98,543.88 is: 147,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,040.80 : 414,148.68 = 98,543.88 : x
  2. Step 2: Convert to fraction form
    276,040.80/414,148.68 = 98,543.88/x
  3. Step 3: Cross multiply
    276,040.80x = 414,148.68 × 98,543.88
  4. Step 4: Simplify right side
    276,040.80x = 40,811,817,824.08
  5. Step 5: Solve for x
    x = 40,811,817,824.08/276,040.80
  6. Step 6: Final answer
    x = 147,847.05

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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.