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Finding the Fourth Proportional to 135,367.88, 186,390.42 and 120,234.24

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Solution

The fourth proportional to 135,367.88, 186,390.42 and 120,234.24 is: 165,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,367.88 : 186,390.42 = 120,234.24 : x
  2. Step 2: Convert to fraction form
    135,367.88/186,390.42 = 120,234.24/x
  3. Step 3: Cross multiply
    135,367.88x = 186,390.42 × 120,234.24
  4. Step 4: Simplify right side
    135,367.88x = 22,410,510,041.10
  5. Step 5: Solve for x
    x = 22,410,510,041.10/135,367.88
  6. Step 6: Final answer
    x = 165,552.65

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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.