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Finding the Fourth Proportional to 205,115.60, 307,673.40 and 145,629.20

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Solution

The fourth proportional to 205,115.60, 307,673.40 and 145,629.20 is: 218,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,115.60 : 307,673.40 = 145,629.20 : x
  2. Step 2: Convert to fraction form
    205,115.60/307,673.40 = 145,629.20/x
  3. Step 3: Cross multiply
    205,115.60x = 307,673.40 × 145,629.20
  4. Step 4: Simplify right side
    205,115.60x = 44,806,231,103.28
  5. Step 5: Solve for x
    x = 44,806,231,103.28/205,115.60
  6. Step 6: Final answer
    x = 218,443.80

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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.