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Finding the Fourth Proportional to 205,099.70, 307,649.55 and 177,451.70

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Solution

The fourth proportional to 205,099.70, 307,649.55 and 177,451.70 is: 266,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,099.70 : 307,649.55 = 177,451.70 : x
  2. Step 2: Convert to fraction form
    205,099.70/307,649.55 = 177,451.70/x
  3. Step 3: Cross multiply
    205,099.70x = 307,649.55 × 177,451.70
  4. Step 4: Simplify right side
    205,099.70x = 54,592,935,651.74
  5. Step 5: Solve for x
    x = 54,592,935,651.74/205,099.70
  6. Step 6: Final answer
    x = 266,177.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.