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Finding the Fourth Proportional to 186,847.64, 280,493.42 and 147,433.04

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Solution

The fourth proportional to 186,847.64, 280,493.42 and 147,433.04 is: 221,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,847.64 : 280,493.42 = 147,433.04 : x
  2. Step 2: Convert to fraction form
    186,847.64/280,493.42 = 147,433.04/x
  3. Step 3: Cross multiply
    186,847.64x = 280,493.42 × 147,433.04
  4. Step 4: Simplify right side
    186,847.64x = 41,353,995,470.96
  5. Step 5: Solve for x
    x = 41,353,995,470.96/186,847.64
  6. Step 6: Final answer
    x = 221,324.69

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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.