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Finding the Fourth Proportional to 185,117.38, 255,462.16 and 100,234.24

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Solution

The fourth proportional to 185,117.38, 255,462.16 and 100,234.24 is: 138,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,117.38 : 255,462.16 = 100,234.24 : x
  2. Step 2: Convert to fraction form
    185,117.38/255,462.16 = 100,234.24/x
  3. Step 3: Cross multiply
    185,117.38x = 255,462.16 × 100,234.24
  4. Step 4: Simplify right side
    185,117.38x = 25,606,054,179.05
  5. Step 5: Solve for x
    x = 25,606,054,179.05/185,117.38
  6. Step 6: Final answer
    x = 138,323.34

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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.