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Finding the Fourth Proportional to 375,178.48, 517,743.25 and 203,092.94

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Solution

The fourth proportional to 375,178.48, 517,743.25 and 203,092.94 is: 280,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,178.48 : 517,743.25 = 203,092.94 : x
  2. Step 2: Convert to fraction form
    375,178.48/517,743.25 = 203,092.94/x
  3. Step 3: Cross multiply
    375,178.48x = 517,743.25 × 203,092.94
  4. Step 4: Simplify right side
    375,178.48x = 105,149,995,957.43
  5. Step 5: Solve for x
    x = 105,149,995,957.43/375,178.48
  6. Step 6: Final answer
    x = 280,266.59

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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.