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Finding the Fourth Proportional to 205,236.20, 307,854.30 and 177,588.20

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Solution

The fourth proportional to 205,236.20, 307,854.30 and 177,588.20 is: 266,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,236.20 : 307,854.30 = 177,588.20 : x
  2. Step 2: Convert to fraction form
    205,236.20/307,854.30 = 177,588.20/x
  3. Step 3: Cross multiply
    205,236.20x = 307,854.30 × 177,588.20
  4. Step 4: Simplify right side
    205,236.20x = 54,671,290,999.26
  5. Step 5: Solve for x
    x = 54,671,290,999.26/205,236.20
  6. Step 6: Final answer
    x = 266,382.30

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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.