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Finding the Fourth Proportional to 462,102.26, 693,147.90 and 146,561.90

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Solution

The fourth proportional to 462,102.26, 693,147.90 and 146,561.90 is: 219,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,102.26 : 693,147.90 = 146,561.90 : x
  2. Step 2: Convert to fraction form
    462,102.26/693,147.90 = 146,561.90/x
  3. Step 3: Cross multiply
    462,102.26x = 693,147.90 × 146,561.90
  4. Step 4: Simplify right side
    462,102.26x = 101,589,073,205.01
  5. Step 5: Solve for x
    x = 101,589,073,205.01/462,102.26
  6. Step 6: Final answer
    x = 219,841.11

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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.