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Finding the Fourth Proportional to 204,773.06, 307,159.59 and 57,029.06

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Solution

The fourth proportional to 204,773.06, 307,159.59 and 57,029.06 is: 85,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,773.06 : 307,159.59 = 57,029.06 : x
  2. Step 2: Convert to fraction form
    204,773.06/307,159.59 = 57,029.06/x
  3. Step 3: Cross multiply
    204,773.06x = 307,159.59 × 57,029.06
  4. Step 4: Simplify right side
    204,773.06x = 17,517,023,669.44
  5. Step 5: Solve for x
    x = 17,517,023,669.44/204,773.06
  6. Step 6: Final answer
    x = 85,543.59

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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.