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Finding the Fourth Proportional to 120,736.70, 181,104.15 and 36,496.70

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Solution

The fourth proportional to 120,736.70, 181,104.15 and 36,496.70 is: 54,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,736.70 : 181,104.15 = 36,496.70 : x
  2. Step 2: Convert to fraction form
    120,736.70/181,104.15 = 36,496.70/x
  3. Step 3: Cross multiply
    120,736.70x = 181,104.15 × 36,496.70
  4. Step 4: Simplify right side
    120,736.70x = 6,609,703,831.31
  5. Step 5: Solve for x
    x = 6,609,703,831.31/120,736.70
  6. Step 6: Final answer
    x = 54,744.78

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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.