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Finding the Fourth Proportional to 185,085.36, 255,418.38 and 100,202.76

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Solution

The fourth proportional to 185,085.36, 255,418.38 and 100,202.76 is: 138,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,085.36 : 255,418.38 = 100,202.76 : x
  2. Step 2: Convert to fraction form
    185,085.36/255,418.38 = 100,202.76/x
  3. Step 3: Cross multiply
    185,085.36x = 255,418.38 × 100,202.76
  4. Step 4: Simplify right side
    185,085.36x = 25,593,626,630.73
  5. Step 5: Solve for x
    x = 25,593,626,630.73/185,085.36
  6. Step 6: Final answer
    x = 138,280.12

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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.