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Finding the Fourth Proportional to 228,243.38, 342,298.13 and 85,986

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Solution

The fourth proportional to 228,243.38, 342,298.13 and 85,986 is: 128,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,243.38 : 342,298.13 = 85,986 : x
  2. Step 2: Convert to fraction form
    228,243.38/342,298.13 = 85,986/x
  3. Step 3: Cross multiply
    228,243.38x = 342,298.13 × 85,986
  4. Step 4: Simplify right side
    228,243.38x = 29,432,846,576.25
  5. Step 5: Solve for x
    x = 29,432,846,576.25/228,243.38
  6. Step 6: Final answer
    x = 128,953.78

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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.