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Finding the Fourth Proportional to 120,791.74, 181,252.77 and 70,969.15

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Solution

The fourth proportional to 120,791.74, 181,252.77 and 70,969.15 is: 106,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,791.74 : 181,252.77 = 70,969.15 : x
  2. Step 2: Convert to fraction form
    120,791.74/181,252.77 = 70,969.15/x
  3. Step 3: Cross multiply
    120,791.74x = 181,252.77 × 70,969.15
  4. Step 4: Simplify right side
    120,791.74x = 12,863,355,022.05
  5. Step 5: Solve for x
    x = 12,863,355,022.05/120,791.74
  6. Step 6: Final answer
    x = 106,492.01

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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.