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Finding the Fourth Proportional to 260,974.54, 360,122.88 and 144,691.12

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Solution

The fourth proportional to 260,974.54, 360,122.88 and 144,691.12 is: 199,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,974.54 : 360,122.88 = 144,691.12 : x
  2. Step 2: Convert to fraction form
    260,974.54/360,122.88 = 144,691.12/x
  3. Step 3: Cross multiply
    260,974.54x = 360,122.88 × 144,691.12
  4. Step 4: Simplify right side
    260,974.54x = 52,106,582,844.83
  5. Step 5: Solve for x
    x = 52,106,582,844.83/260,974.54
  6. Step 6: Final answer
    x = 199,661.56

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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.