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Finding the Fourth Proportional to 203,414.92, 280,726.26 and 117,389.32

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Solution

The fourth proportional to 203,414.92, 280,726.26 and 117,389.32 is: 162,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,414.92 : 280,726.26 = 117,389.32 : x
  2. Step 2: Convert to fraction form
    203,414.92/280,726.26 = 117,389.32/x
  3. Step 3: Cross multiply
    203,414.92x = 280,726.26 × 117,389.32
  4. Step 4: Simplify right side
    203,414.92x = 32,954,264,767.54
  5. Step 5: Solve for x
    x = 32,954,264,767.54/203,414.92
  6. Step 6: Final answer
    x = 162,005.15

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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.