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Finding the Fourth Proportional to 196,160.64, 270,707.84 and 120,752.64

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Solution

The fourth proportional to 196,160.64, 270,707.84 and 120,752.64 is: 166,642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,160.64 : 270,707.84 = 120,752.64 : x
  2. Step 2: Convert to fraction form
    196,160.64/270,707.84 = 120,752.64/x
  3. Step 3: Cross multiply
    196,160.64x = 270,707.84 × 120,752.64
  4. Step 4: Simplify right side
    196,160.64x = 32,688,686,348.70
  5. Step 5: Solve for x
    x = 32,688,686,348.70/196,160.64
  6. Step 6: Final answer
    x = 166,642.43

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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.