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Finding the Fourth Proportional to 266,099.80, 399,344.10 and 177,323.80

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Solution

The fourth proportional to 266,099.80, 399,344.10 and 177,323.80 is: 266,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,099.80 : 399,344.10 = 177,323.80 : x
  2. Step 2: Convert to fraction form
    266,099.80/399,344.10 = 177,323.80/x
  3. Step 3: Cross multiply
    266,099.80x = 399,344.10 × 177,323.80
  4. Step 4: Simplify right side
    266,099.80x = 70,813,213,319.58
  5. Step 5: Solve for x
    x = 70,813,213,319.58/266,099.80
  6. Step 6: Final answer
    x = 266,115.24

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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.