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Finding the Fourth Proportional to 205,243.60, 307,865.40 and 121,262.80

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Solution

The fourth proportional to 205,243.60, 307,865.40 and 121,262.80 is: 181,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,243.60 : 307,865.40 = 121,262.80 : x
  2. Step 2: Convert to fraction form
    205,243.60/307,865.40 = 121,262.80/x
  3. Step 3: Cross multiply
    205,243.60x = 307,865.40 × 121,262.80
  4. Step 4: Simplify right side
    205,243.60x = 37,332,620,427.12
  5. Step 5: Solve for x
    x = 37,332,620,427.12/205,243.60
  6. Step 6: Final answer
    x = 181,894.20

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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.