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Finding the Fourth Proportional to 204,842.70, 307,264.05 and 57,098.70

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Solution

The fourth proportional to 204,842.70, 307,264.05 and 57,098.70 is: 85,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,842.70 : 307,264.05 = 57,098.70 : x
  2. Step 2: Convert to fraction form
    204,842.70/307,264.05 = 57,098.70/x
  3. Step 3: Cross multiply
    204,842.70x = 307,264.05 × 57,098.70
  4. Step 4: Simplify right side
    204,842.70x = 17,544,377,811.74
  5. Step 5: Solve for x
    x = 17,544,377,811.74/204,842.70
  6. Step 6: Final answer
    x = 85,648.05

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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.