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Finding the Fourth Proportional to 192,223.10, 288,396.34 and 92,390.53

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Solution

The fourth proportional to 192,223.10, 288,396.34 and 92,390.53 is: 138,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,223.10 : 288,396.34 = 92,390.53 : x
  2. Step 2: Convert to fraction form
    192,223.10/288,396.34 = 92,390.53/x
  3. Step 3: Cross multiply
    192,223.10x = 288,396.34 × 92,390.53
  4. Step 4: Simplify right side
    192,223.10x = 26,645,091,647.61
  5. Step 5: Solve for x
    x = 26,645,091,647.61/192,223.10
  6. Step 6: Final answer
    x = 138,615.45

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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.