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Finding the Fourth Proportional to 120,793.50, 181,216.17 and 46,921.50

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Solution

The fourth proportional to 120,793.50, 181,216.17 and 46,921.50 is: 70,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,793.50 : 181,216.17 = 46,921.50 : x
  2. Step 2: Convert to fraction form
    120,793.50/181,216.17 = 46,921.50/x
  3. Step 3: Cross multiply
    120,793.50x = 181,216.17 × 46,921.50
  4. Step 4: Simplify right side
    120,793.50x = 8,502,934,520.66
  5. Step 5: Solve for x
    x = 8,502,934,520.66/120,793.50
  6. Step 6: Final answer
    x = 70,392.32

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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.