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Finding the Fourth Proportional to 159,412.80, 239,063.32 and 47,063.04

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Solution

The fourth proportional to 159,412.80, 239,063.32 and 47,063.04 is: 70,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,412.80 : 239,063.32 = 47,063.04 : x
  2. Step 2: Convert to fraction form
    159,412.80/239,063.32 = 47,063.04/x
  3. Step 3: Cross multiply
    159,412.80x = 239,063.32 × 47,063.04
  4. Step 4: Simplify right side
    159,412.80x = 11,251,046,591.69
  5. Step 5: Solve for x
    x = 11,251,046,591.69/159,412.80
  6. Step 6: Final answer
    x = 70,578.06

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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.