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Finding the Fourth Proportional to 192,479.44, 288,719.31 and 52,238.07

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Solution

The fourth proportional to 192,479.44, 288,719.31 and 52,238.07 is: 78,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,479.44 : 288,719.31 = 52,238.07 : x
  2. Step 2: Convert to fraction form
    192,479.44/288,719.31 = 52,238.07/x
  3. Step 3: Cross multiply
    192,479.44x = 288,719.31 × 52,238.07
  4. Step 4: Simplify right side
    192,479.44x = 15,082,139,526.13
  5. Step 5: Solve for x
    x = 15,082,139,526.13/192,479.44
  6. Step 6: Final answer
    x = 78,357.15

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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.