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Finding the Fourth Proportional to 181,020.64, 271,473.36 and 75,820

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Solution

The fourth proportional to 181,020.64, 271,473.36 and 75,820 is: 113,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,020.64 : 271,473.36 = 75,820 : x
  2. Step 2: Convert to fraction form
    181,020.64/271,473.36 = 75,820/x
  3. Step 3: Cross multiply
    181,020.64x = 271,473.36 × 75,820
  4. Step 4: Simplify right side
    181,020.64x = 20,583,110,155.20
  5. Step 5: Solve for x
    x = 20,583,110,155.20/181,020.64
  6. Step 6: Final answer
    x = 113,705.87

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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.