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Finding the Fourth Proportional to 192,464.78, 288,678.58 and 59,309.28

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Solution

The fourth proportional to 192,464.78, 288,678.58 and 59,309.28 is: 88,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,464.78 : 288,678.58 = 59,309.28 : x
  2. Step 2: Convert to fraction form
    192,464.78/288,678.58 = 59,309.28/x
  3. Step 3: Cross multiply
    192,464.78x = 288,678.58 × 59,309.28
  4. Step 4: Simplify right side
    192,464.78x = 17,121,318,582.95
  5. Step 5: Solve for x
    x = 17,121,318,582.95/192,464.78
  6. Step 6: Final answer
    x = 88,958.19

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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.