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Finding the Fourth Proportional to 276,713.10, 415,069.65 and 89,724.60

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Solution

The fourth proportional to 276,713.10, 415,069.65 and 89,724.60 is: 134,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,713.10 : 415,069.65 = 89,724.60 : x
  2. Step 2: Convert to fraction form
    276,713.10/415,069.65 = 89,724.60/x
  3. Step 3: Cross multiply
    276,713.10x = 415,069.65 × 89,724.60
  4. Step 4: Simplify right side
    276,713.10x = 37,241,958,318.39
  5. Step 5: Solve for x
    x = 37,241,958,318.39/276,713.10
  6. Step 6: Final answer
    x = 134,586.90

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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.