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Finding the Fourth Proportional to 311,249.86, 466,883.82 and 121,702.56

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Solution

The fourth proportional to 311,249.86, 466,883.82 and 121,702.56 is: 182,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,249.86 : 466,883.82 = 121,702.56 : x
  2. Step 2: Convert to fraction form
    311,249.86/466,883.82 = 121,702.56/x
  3. Step 3: Cross multiply
    311,249.86x = 466,883.82 × 121,702.56
  4. Step 4: Simplify right side
    311,249.86x = 56,820,956,116.58
  5. Step 5: Solve for x
    x = 56,820,956,116.58/311,249.86
  6. Step 6: Final answer
    x = 182,557.37

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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.