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Finding the Fourth Proportional to 196,165.64, 270,738.78 and 111,264.68

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Solution

The fourth proportional to 196,165.64, 270,738.78 and 111,264.68 is: 153,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,165.64 : 270,738.78 = 111,264.68 : x
  2. Step 2: Convert to fraction form
    196,165.64/270,738.78 = 111,264.68/x
  3. Step 3: Cross multiply
    196,165.64x = 270,738.78 × 111,264.68
  4. Step 4: Simplify right side
    196,165.64x = 30,123,663,720.29
  5. Step 5: Solve for x
    x = 30,123,663,720.29/196,165.64
  6. Step 6: Final answer
    x = 153,562.39

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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.