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Finding the Fourth Proportional to 121,178.20, 181,961.70 and 81,909.40

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Solution

The fourth proportional to 121,178.20, 181,961.70 and 81,909.40 is: 122,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,178.20 : 181,961.70 = 81,909.40 : x
  2. Step 2: Convert to fraction form
    121,178.20/181,961.70 = 81,909.40/x
  3. Step 3: Cross multiply
    121,178.20x = 181,961.70 × 81,909.40
  4. Step 4: Simplify right side
    121,178.20x = 14,904,373,669.98
  5. Step 5: Solve for x
    x = 14,904,373,669.98/121,178.20
  6. Step 6: Final answer
    x = 122,995.50

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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.