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Finding the Fourth Proportional to 192,437.58, 288,449.01 and 109,286.22

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Solution

The fourth proportional to 192,437.58, 288,449.01 and 109,286.22 is: 163,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,437.58 : 288,449.01 = 109,286.22 : x
  2. Step 2: Convert to fraction form
    192,437.58/288,449.01 = 109,286.22/x
  3. Step 3: Cross multiply
    192,437.58x = 288,449.01 × 109,286.22
  4. Step 4: Simplify right side
    192,437.58x = 31,523,501,965.64
  5. Step 5: Solve for x
    x = 31,523,501,965.64/192,437.58
  6. Step 6: Final answer
    x = 163,811.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.