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Finding the Fourth Proportional to 203,889.13, 281,367 and 114,465.13

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Solution

The fourth proportional to 203,889.13, 281,367 and 114,465.13 is: 157,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,889.13 : 281,367 = 114,465.13 : x
  2. Step 2: Convert to fraction form
    203,889.13/281,367 = 114,465.13/x
  3. Step 3: Cross multiply
    203,889.13x = 281,367 × 114,465.13
  4. Step 4: Simplify right side
    203,889.13x = 32,206,710,232.71
  5. Step 5: Solve for x
    x = 32,206,710,232.71/203,889.13
  6. Step 6: Final answer
    x = 157,961.88

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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.