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Finding the Fourth Proportional to 185,137.25, 255,489.54 and 100,254.38

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Solution

The fourth proportional to 185,137.25, 255,489.54 and 100,254.38 is: 138,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,137.25 : 255,489.54 = 100,254.38 : x
  2. Step 2: Convert to fraction form
    185,137.25/255,489.54 = 100,254.38/x
  3. Step 3: Cross multiply
    185,137.25x = 255,489.54 × 100,254.38
  4. Step 4: Simplify right side
    185,137.25x = 25,613,945,429.19
  5. Step 5: Solve for x
    x = 25,613,945,429.19/185,137.25
  6. Step 6: Final answer
    x = 138,351.12

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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.