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Finding the Fourth Proportional to 192,184.68, 287,716.53 and 111,977.82

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Solution

The fourth proportional to 192,184.68, 287,716.53 and 111,977.82 is: 167,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,184.68 : 287,716.53 = 111,977.82 : x
  2. Step 2: Convert to fraction form
    192,184.68/287,716.53 = 111,977.82/x
  3. Step 3: Cross multiply
    192,184.68x = 287,716.53 × 111,977.82
  4. Step 4: Simplify right side
    192,184.68x = 32,217,869,807.36
  5. Step 5: Solve for x
    x = 32,217,869,807.36/192,184.68
  6. Step 6: Final answer
    x = 167,640.16

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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.