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Finding the Fourth Proportional to 220,580.38, 304,455 and 125,142.94

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Solution

The fourth proportional to 220,580.38, 304,455 and 125,142.94 is: 172,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,580.38 : 304,455 = 125,142.94 : x
  2. Step 2: Convert to fraction form
    220,580.38/304,455 = 125,142.94/x
  3. Step 3: Cross multiply
    220,580.38x = 304,455 × 125,142.94
  4. Step 4: Simplify right side
    220,580.38x = 38,100,393,797.70
  5. Step 5: Solve for x
    x = 38,100,393,797.70/220,580.38
  6. Step 6: Final answer
    x = 172,727.94

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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.