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Finding the Fourth Proportional to 260,225.92, 359,108.16 and 140,993.92

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Solution

The fourth proportional to 260,225.92, 359,108.16 and 140,993.92 is: 194,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,225.92 : 359,108.16 = 140,993.92 : x
  2. Step 2: Convert to fraction form
    260,225.92/359,108.16 = 140,993.92/x
  3. Step 3: Cross multiply
    260,225.92x = 359,108.16 × 140,993.92
  4. Step 4: Simplify right side
    260,225.92x = 50,632,067,182.39
  5. Step 5: Solve for x
    x = 50,632,067,182.39/260,225.92
  6. Step 6: Final answer
    x = 194,569.65

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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.