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Finding the Fourth Proportional to 260,301.44, 359,224.32 and 144,016.72

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Solution

The fourth proportional to 260,301.44, 359,224.32 and 144,016.72 is: 198,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,301.44 : 359,224.32 = 144,016.72 : x
  2. Step 2: Convert to fraction form
    260,301.44/359,224.32 = 144,016.72/x
  3. Step 3: Cross multiply
    260,301.44x = 359,224.32 × 144,016.72
  4. Step 4: Simplify right side
    260,301.44x = 51,734,308,310.63
  5. Step 5: Solve for x
    x = 51,734,308,310.63/260,301.44
  6. Step 6: Final answer
    x = 198,747.68

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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.