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Finding the Fourth Proportional to 185,578.30, 256,098 and 100,695.34

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Solution

The fourth proportional to 185,578.30, 256,098 and 100,695.34 is: 138,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,578.30 : 256,098 = 100,695.34 : x
  2. Step 2: Convert to fraction form
    185,578.30/256,098 = 100,695.34/x
  3. Step 3: Cross multiply
    185,578.30x = 256,098 × 100,695.34
  4. Step 4: Simplify right side
    185,578.30x = 25,787,875,183.32
  5. Step 5: Solve for x
    x = 25,787,875,183.32/185,578.30
  6. Step 6: Final answer
    x = 138,959.54

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1.5x scale

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.