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Finding the Fourth Proportional to 242,900.86, 363,863.34 and 120,954.01

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Solution

The fourth proportional to 242,900.86, 363,863.34 and 120,954.01 is: 181,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,900.86 : 363,863.34 = 120,954.01 : x
  2. Step 2: Convert to fraction form
    242,900.86/363,863.34 = 120,954.01/x
  3. Step 3: Cross multiply
    242,900.86x = 363,863.34 × 120,954.01
  4. Step 4: Simplify right side
    242,900.86x = 44,010,728,550.57
  5. Step 5: Solve for x
    x = 44,010,728,550.57/242,900.86
  6. Step 6: Final answer
    x = 181,188.03

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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.