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Finding the Fourth Proportional to 152,717, 229,079.84 and 41,909

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Solution

The fourth proportional to 152,717, 229,079.84 and 41,909 is: 62,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,717 : 229,079.84 = 41,909 : x
  2. Step 2: Convert to fraction form
    152,717/229,079.84 = 41,909/x
  3. Step 3: Cross multiply
    152,717x = 229,079.84 × 41,909
  4. Step 4: Simplify right side
    152,717x = 9,600,507,014.56
  5. Step 5: Solve for x
    x = 9,600,507,014.56/152,717
  6. Step 6: Final answer
    x = 62,864.69

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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.