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Finding the Fourth Proportional to 147,288.68, 203,251.12 and 83,618.12

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Solution

The fourth proportional to 147,288.68, 203,251.12 and 83,618.12 is: 115,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,288.68 : 203,251.12 = 83,618.12 : x
  2. Step 2: Convert to fraction form
    147,288.68/203,251.12 = 83,618.12/x
  3. Step 3: Cross multiply
    147,288.68x = 203,251.12 × 83,618.12
  4. Step 4: Simplify right side
    147,288.68x = 16,995,476,542.29
  5. Step 5: Solve for x
    x = 16,995,476,542.29/147,288.68
  6. Step 6: Final answer
    x = 115,388.88

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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.