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Finding the Fourth Proportional to 185,000.32, 255,301.24 and 100,117.38

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Solution

The fourth proportional to 185,000.32, 255,301.24 and 100,117.38 is: 138,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,000.32 : 255,301.24 = 100,117.38 : x
  2. Step 2: Convert to fraction form
    185,000.32/255,301.24 = 100,117.38/x
  3. Step 3: Cross multiply
    185,000.32x = 255,301.24 × 100,117.38
  4. Step 4: Simplify right side
    185,000.32x = 25,560,091,259.55
  5. Step 5: Solve for x
    x = 25,560,091,259.55/185,000.32
  6. Step 6: Final answer
    x = 138,162.42

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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.