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Finding the Fourth Proportional to 276,079.12, 414,206.20 and 98,582.32

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Solution

The fourth proportional to 276,079.12, 414,206.20 and 98,582.32 is: 147,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,079.12 : 414,206.20 = 98,582.32 : x
  2. Step 2: Convert to fraction form
    276,079.12/414,206.20 = 98,582.32/x
  3. Step 3: Cross multiply
    276,079.12x = 414,206.20 × 98,582.32
  4. Step 4: Simplify right side
    276,079.12x = 40,833,408,154.38
  5. Step 5: Solve for x
    x = 40,833,408,154.38/276,079.12
  6. Step 6: Final answer
    x = 147,904.73

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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.