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Finding the Fourth Proportional to 192,464.89, 288,678.77 and 59,309.40

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Solution

The fourth proportional to 192,464.89, 288,678.77 and 59,309.40 is: 88,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,464.89 : 288,678.77 = 59,309.40 : x
  2. Step 2: Convert to fraction form
    192,464.89/288,678.77 = 59,309.40/x
  3. Step 3: Cross multiply
    192,464.89x = 288,678.77 × 59,309.40
  4. Step 4: Simplify right side
    192,464.89x = 17,121,364,026.03
  5. Step 5: Solve for x
    x = 17,121,364,026.03/192,464.89
  6. Step 6: Final answer
    x = 88,958.37

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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.