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Finding the Fourth Proportional to 159,754.04, 239,680.78 and 47,434.84

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Solution

The fourth proportional to 159,754.04, 239,680.78 and 47,434.84 is: 71,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,754.04 : 239,680.78 = 47,434.84 : x
  2. Step 2: Convert to fraction form
    159,754.04/239,680.78 = 47,434.84/x
  3. Step 3: Cross multiply
    159,754.04x = 239,680.78 × 47,434.84
  4. Step 4: Simplify right side
    159,754.04x = 11,369,219,877.15
  5. Step 5: Solve for x
    x = 11,369,219,877.15/159,754.04
  6. Step 6: Final answer
    x = 71,167.03

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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.