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Finding the Fourth Proportional to 159,414.80, 239,066.32 and 47,065.04

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Solution

The fourth proportional to 159,414.80, 239,066.32 and 47,065.04 is: 70,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,414.80 : 239,066.32 = 47,065.04 : x
  2. Step 2: Convert to fraction form
    159,414.80/239,066.32 = 47,065.04/x
  3. Step 3: Cross multiply
    159,414.80x = 239,066.32 × 47,065.04
  4. Step 4: Simplify right side
    159,414.80x = 11,251,665,913.45
  5. Step 5: Solve for x
    x = 11,251,665,913.45/159,414.80
  6. Step 6: Final answer
    x = 70,581.06

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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.