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Finding the Fourth Proportional to 276,053.80, 414,080.70 and 89,065.30

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Solution

The fourth proportional to 276,053.80, 414,080.70 and 89,065.30 is: 133,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,053.80 : 414,080.70 = 89,065.30 : x
  2. Step 2: Convert to fraction form
    276,053.80/414,080.70 = 89,065.30/x
  3. Step 3: Cross multiply
    276,053.80x = 414,080.70 × 89,065.30
  4. Step 4: Simplify right side
    276,053.80x = 36,880,221,769.71
  5. Step 5: Solve for x
    x = 36,880,221,769.71/276,053.80
  6. Step 6: Final answer
    x = 133,597.95

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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.