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Finding the Fourth Proportional to 192,262.46, 288,393.71 and 125,758.53

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Solution

The fourth proportional to 192,262.46, 288,393.71 and 125,758.53 is: 188,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,262.46 : 288,393.71 = 125,758.53 : x
  2. Step 2: Convert to fraction form
    192,262.46/288,393.71 = 125,758.53/x
  3. Step 3: Cross multiply
    192,262.46x = 288,393.71 × 125,758.53
  4. Step 4: Simplify right side
    192,262.46x = 36,267,968,402.05
  5. Step 5: Solve for x
    x = 36,267,968,402.05/192,262.46
  6. Step 6: Final answer
    x = 188,637.81

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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.