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Finding the Fourth Proportional to 159,704.70, 239,723.21 and 117,632.29

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Solution

The fourth proportional to 159,704.70, 239,723.21 and 117,632.29 is: 176,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,704.70 : 239,723.21 = 117,632.29 : x
  2. Step 2: Convert to fraction form
    159,704.70/239,723.21 = 117,632.29/x
  3. Step 3: Cross multiply
    159,704.70x = 239,723.21 × 117,632.29
  4. Step 4: Simplify right side
    159,704.70x = 28,199,190,158.45
  5. Step 5: Solve for x
    x = 28,199,190,158.45/159,704.70
  6. Step 6: Final answer
    x = 176,570.82

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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.