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Finding the Fourth Proportional to 377,161.57, 565,742.32 and 110,922.08

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Solution

The fourth proportional to 377,161.57, 565,742.32 and 110,922.08 is: 166,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,161.57 : 565,742.32 = 110,922.08 : x
  2. Step 2: Convert to fraction form
    377,161.57/565,742.32 = 110,922.08/x
  3. Step 3: Cross multiply
    377,161.57x = 565,742.32 × 110,922.08
  4. Step 4: Simplify right side
    377,161.57x = 62,753,315,578.65
  5. Step 5: Solve for x
    x = 62,753,315,578.65/377,161.57
  6. Step 6: Final answer
    x = 166,383.11

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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.