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Finding the Fourth Proportional to 192,464.73, 288,678.51 and 59,309.24

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Solution

The fourth proportional to 192,464.73, 288,678.51 and 59,309.24 is: 88,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,464.73 : 288,678.51 = 59,309.24 : x
  2. Step 2: Convert to fraction form
    192,464.73/288,678.51 = 59,309.24/x
  3. Step 3: Cross multiply
    192,464.73x = 288,678.51 × 59,309.24
  4. Step 4: Simplify right side
    192,464.73x = 17,121,301,589.04
  5. Step 5: Solve for x
    x = 17,121,301,589.04/192,464.73
  6. Step 6: Final answer
    x = 88,958.13

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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.