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Finding the Fourth Proportional to 192,542.88, 288,742.41 and 66,147.24

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Solution

The fourth proportional to 192,542.88, 288,742.41 and 66,147.24 is: 99,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,542.88 : 288,742.41 = 66,147.24 : x
  2. Step 2: Convert to fraction form
    192,542.88/288,742.41 = 66,147.24/x
  3. Step 3: Cross multiply
    192,542.88x = 288,742.41 × 66,147.24
  4. Step 4: Simplify right side
    192,542.88x = 19,099,513,492.45
  5. Step 5: Solve for x
    x = 19,099,513,492.45/192,542.88
  6. Step 6: Final answer
    x = 99,196.16

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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.