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Finding the Fourth Proportional to 205,025.20, 307,537.80 and 177,377.20

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Solution

The fourth proportional to 205,025.20, 307,537.80 and 177,377.20 is: 266,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,025.20 : 307,537.80 = 177,377.20 : x
  2. Step 2: Convert to fraction form
    205,025.20/307,537.80 = 177,377.20/x
  3. Step 3: Cross multiply
    205,025.20x = 307,537.80 × 177,377.20
  4. Step 4: Simplify right side
    205,025.20x = 54,550,193,858.16
  5. Step 5: Solve for x
    x = 54,550,193,858.16/205,025.20
  6. Step 6: Final answer
    x = 266,065.80

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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.