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Finding the Fourth Proportional to 80,643.60, 120,965.40 and 54,205.20

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Solution

The fourth proportional to 80,643.60, 120,965.40 and 54,205.20 is: 81,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,643.60 : 120,965.40 = 54,205.20 : x
  2. Step 2: Convert to fraction form
    80,643.60/120,965.40 = 54,205.20/x
  3. Step 3: Cross multiply
    80,643.60x = 120,965.40 × 54,205.20
  4. Step 4: Simplify right side
    80,643.60x = 6,556,953,700.08
  5. Step 5: Solve for x
    x = 6,556,953,700.08/80,643.60
  6. Step 6: Final answer
    x = 81,307.80

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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.