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Finding the Fourth Proportional to 276,005.24, 414,007.84 and 89,016.74

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Solution

The fourth proportional to 276,005.24, 414,007.84 and 89,016.74 is: 133,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,005.24 : 414,007.84 = 89,016.74 : x
  2. Step 2: Convert to fraction form
    276,005.24/414,007.84 = 89,016.74/x
  3. Step 3: Cross multiply
    276,005.24x = 414,007.84 × 89,016.74
  4. Step 4: Simplify right side
    276,005.24x = 36,853,628,251.24
  5. Step 5: Solve for x
    x = 36,853,628,251.24/276,005.24
  6. Step 6: Final answer
    x = 133,525.10

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1.5x scale

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.