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Finding the Fourth Proportional to 311,186.74, 466,863.18 and 111,527.32

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Solution

The fourth proportional to 311,186.74, 466,863.18 and 111,527.32 is: 167,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,186.74 : 466,863.18 = 111,527.32 : x
  2. Step 2: Convert to fraction form
    311,186.74/466,863.18 = 111,527.32/x
  3. Step 3: Cross multiply
    311,186.74x = 466,863.18 × 111,527.32
  4. Step 4: Simplify right side
    311,186.74x = 52,067,999,272.08
  5. Step 5: Solve for x
    x = 52,067,999,272.08/311,186.74
  6. Step 6: Final answer
    x = 167,320.75

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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.