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Finding the Fourth Proportional to 92,229.42, 138,245.58 and 65,854.20

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Solution

The fourth proportional to 92,229.42, 138,245.58 and 65,854.20 is: 98,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,229.42 : 138,245.58 = 65,854.20 : x
  2. Step 2: Convert to fraction form
    92,229.42/138,245.58 = 65,854.20/x
  3. Step 3: Cross multiply
    92,229.42x = 138,245.58 × 65,854.20
  4. Step 4: Simplify right side
    92,229.42x = 9,104,052,074.44
  5. Step 5: Solve for x
    x = 9,104,052,074.44/92,229.42
  6. Step 6: Final answer
    x = 98,710.93

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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.