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Finding the Fourth Proportional to 185,651.13, 256,177.24 and 103,967.98

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Solution

The fourth proportional to 185,651.13, 256,177.24 and 103,967.98 is: 143,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,651.13 : 256,177.24 = 103,967.98 : x
  2. Step 2: Convert to fraction form
    185,651.13/256,177.24 = 103,967.98/x
  3. Step 3: Cross multiply
    185,651.13x = 256,177.24 × 103,967.98
  4. Step 4: Simplify right side
    185,651.13x = 26,634,230,164.78
  5. Step 5: Solve for x
    x = 26,634,230,164.78/185,651.13
  6. Step 6: Final answer
    x = 143,463.87

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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.