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Finding the Fourth Proportional to 205,236.38, 283,223.51 and 114,593.89

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Solution

The fourth proportional to 205,236.38, 283,223.51 and 114,593.89 is: 158,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,236.38 : 283,223.51 = 114,593.89 : x
  2. Step 2: Convert to fraction form
    205,236.38/283,223.51 = 114,593.89/x
  3. Step 3: Cross multiply
    205,236.38x = 283,223.51 × 114,593.89
  4. Step 4: Simplify right side
    205,236.38x = 32,455,683,750.35
  5. Step 5: Solve for x
    x = 32,455,683,750.35/205,236.38
  6. Step 6: Final answer
    x = 158,138.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.