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Finding the Fourth Proportional to 260,982.54, 360,133.92 and 144,699.12

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Solution

The fourth proportional to 260,982.54, 360,133.92 and 144,699.12 is: 199,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,982.54 : 360,133.92 = 144,699.12 : x
  2. Step 2: Convert to fraction form
    260,982.54/360,133.92 = 144,699.12/x
  3. Step 3: Cross multiply
    260,982.54x = 360,133.92 × 144,699.12
  4. Step 4: Simplify right side
    260,982.54x = 52,111,061,306.15
  5. Step 5: Solve for x
    x = 52,111,061,306.15/260,982.54
  6. Step 6: Final answer
    x = 199,672.60

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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.