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Finding the Fourth Proportional to 192,464.52, 288,678.22 and 59,309.02

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Solution

The fourth proportional to 192,464.52, 288,678.22 and 59,309.02 is: 88,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,464.52 : 288,678.22 = 59,309.02 : x
  2. Step 2: Convert to fraction form
    192,464.52/288,678.22 = 59,309.02/x
  3. Step 3: Cross multiply
    192,464.52x = 288,678.22 × 59,309.02
  4. Step 4: Simplify right side
    192,464.52x = 17,121,222,323.54
  5. Step 5: Solve for x
    x = 17,121,222,323.54/192,464.52
  6. Step 6: Final answer
    x = 88,957.81

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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.