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Finding the Fourth Proportional to 185,184.31, 255,555.48 and 100,301.38

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Solution

The fourth proportional to 185,184.31, 255,555.48 and 100,301.38 is: 138,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,184.31 : 255,555.48 = 100,301.38 : x
  2. Step 2: Convert to fraction form
    185,184.31/255,555.48 = 100,301.38/x
  3. Step 3: Cross multiply
    185,184.31x = 255,555.48 × 100,301.38
  4. Step 4: Simplify right side
    185,184.31x = 25,632,567,310.56
  5. Step 5: Solve for x
    x = 25,632,567,310.56/185,184.31
  6. Step 6: Final answer
    x = 138,416.52

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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.