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Finding the Fourth Proportional to 196,965.52, 295,422.36 and 54,820.24

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Solution

The fourth proportional to 196,965.52, 295,422.36 and 54,820.24 is: 82,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,965.52 : 295,422.36 = 54,820.24 : x
  2. Step 2: Convert to fraction form
    196,965.52/295,422.36 = 54,820.24/x
  3. Step 3: Cross multiply
    196,965.52x = 295,422.36 × 54,820.24
  4. Step 4: Simplify right side
    196,965.52x = 16,195,124,676.57
  5. Step 5: Solve for x
    x = 16,195,124,676.57/196,965.52
  6. Step 6: Final answer
    x = 82,223.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.