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Finding the Fourth Proportional to 378,103.41, 567,123.93 and 125,301.33

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Solution

The fourth proportional to 378,103.41, 567,123.93 and 125,301.33 is: 187,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,103.41 : 567,123.93 = 125,301.33 : x
  2. Step 2: Convert to fraction form
    378,103.41/567,123.93 = 125,301.33/x
  3. Step 3: Cross multiply
    378,103.41x = 567,123.93 × 125,301.33
  4. Step 4: Simplify right side
    378,103.41x = 71,061,382,703.83
  5. Step 5: Solve for x
    x = 71,061,382,703.83/378,103.41
  6. Step 6: Final answer
    x = 187,941.66

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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.