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Finding the Fourth Proportional to 159,475.50, 239,213.25 and 65,983.68

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Solution

The fourth proportional to 159,475.50, 239,213.25 and 65,983.68 is: 98,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,475.50 : 239,213.25 = 65,983.68 : x
  2. Step 2: Convert to fraction form
    159,475.50/239,213.25 = 65,983.68/x
  3. Step 3: Cross multiply
    159,475.50x = 239,213.25 × 65,983.68
  4. Step 4: Simplify right side
    159,475.50x = 15,784,170,539.76
  5. Step 5: Solve for x
    x = 15,784,170,539.76/159,475.50
  6. Step 6: Final answer
    x = 98,975.52

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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.