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Finding the Fourth Proportional to 196,077.20, 270,586.52 and 106,653.20

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Solution

The fourth proportional to 196,077.20, 270,586.52 and 106,653.20 is: 147,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,077.20 : 270,586.52 = 106,653.20 : x
  2. Step 2: Convert to fraction form
    196,077.20/270,586.52 = 106,653.20/x
  3. Step 3: Cross multiply
    196,077.20x = 270,586.52 × 106,653.20
  4. Step 4: Simplify right side
    196,077.20x = 28,858,916,348.67
  5. Step 5: Solve for x
    x = 28,858,916,348.67/196,077.20
  6. Step 6: Final answer
    x = 147,181.40

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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.