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Finding the Fourth Proportional to 154,480.80, 231,742.80 and 65,733.60

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Solution

The fourth proportional to 154,480.80, 231,742.80 and 65,733.60 is: 98,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,480.80 : 231,742.80 = 65,733.60 : x
  2. Step 2: Convert to fraction form
    154,480.80/231,742.80 = 65,733.60/x
  3. Step 3: Cross multiply
    154,480.80x = 231,742.80 × 65,733.60
  4. Step 4: Simplify right side
    154,480.80x = 15,233,288,518.08
  5. Step 5: Solve for x
    x = 15,233,288,518.08/154,480.80
  6. Step 6: Final answer
    x = 98,609.59

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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.