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Finding the Fourth Proportional to 205,057.40, 307,254.90 and 116,046.20

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Solution

The fourth proportional to 205,057.40, 307,254.90 and 116,046.20 is: 173,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,057.40 : 307,254.90 = 116,046.20 : x
  2. Step 2: Convert to fraction form
    205,057.40/307,254.90 = 116,046.20/x
  3. Step 3: Cross multiply
    205,057.40x = 307,254.90 × 116,046.20
  4. Step 4: Simplify right side
    205,057.40x = 35,655,763,576.38
  5. Step 5: Solve for x
    x = 35,655,763,576.38/205,057.40
  6. Step 6: Final answer
    x = 173,881.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.