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Finding the Fourth Proportional to 204,701.60, 307,052.40 and 145,215.20

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Solution

The fourth proportional to 204,701.60, 307,052.40 and 145,215.20 is: 217,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,701.60 : 307,052.40 = 145,215.20 : x
  2. Step 2: Convert to fraction form
    204,701.60/307,052.40 = 145,215.20/x
  3. Step 3: Cross multiply
    204,701.60x = 307,052.40 × 145,215.20
  4. Step 4: Simplify right side
    204,701.60x = 44,588,675,676.48
  5. Step 5: Solve for x
    x = 44,588,675,676.48/204,701.60
  6. Step 6: Final answer
    x = 217,822.80

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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.