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Finding the Fourth Proportional to 276,052.30, 414,078.45 and 98,565.10

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Solution

The fourth proportional to 276,052.30, 414,078.45 and 98,565.10 is: 147,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,052.30 : 414,078.45 = 98,565.10 : x
  2. Step 2: Convert to fraction form
    276,052.30/414,078.45 = 98,565.10/x
  3. Step 3: Cross multiply
    276,052.30x = 414,078.45 × 98,565.10
  4. Step 4: Simplify right side
    276,052.30x = 40,813,683,832.10
  5. Step 5: Solve for x
    x = 40,813,683,832.10/276,052.30
  6. Step 6: Final answer
    x = 147,847.65

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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.