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Finding the Fourth Proportional to 206,143.84, 284,488.77 and 125,558.47

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Solution

The fourth proportional to 206,143.84, 284,488.77 and 125,558.47 is: 173,276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,143.84 : 284,488.77 = 125,558.47 : x
  2. Step 2: Convert to fraction form
    206,143.84/284,488.77 = 125,558.47/x
  3. Step 3: Cross multiply
    206,143.84x = 284,488.77 × 125,558.47
  4. Step 4: Simplify right side
    206,143.84x = 35,719,974,693.38
  5. Step 5: Solve for x
    x = 35,719,974,693.38/206,143.84
  6. Step 6: Final answer
    x = 173,276.94

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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.