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Finding the Fourth Proportional to 204,225.60, 306,338.40 and 99,249.60

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Solution

The fourth proportional to 204,225.60, 306,338.40 and 99,249.60 is: 148,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,225.60 : 306,338.40 = 99,249.60 : x
  2. Step 2: Convert to fraction form
    204,225.60/306,338.40 = 99,249.60/x
  3. Step 3: Cross multiply
    204,225.60x = 306,338.40 × 99,249.60
  4. Step 4: Simplify right side
    204,225.60x = 30,403,963,664.64
  5. Step 5: Solve for x
    x = 30,403,963,664.64/204,225.60
  6. Step 6: Final answer
    x = 148,874.40

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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.