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Finding the Fourth Proportional to 192,465.48, 288,599.64 and 102,559.43

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Solution

The fourth proportional to 192,465.48, 288,599.64 and 102,559.43 is: 153,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,465.48 : 288,599.64 = 102,559.43 : x
  2. Step 2: Convert to fraction form
    192,465.48/288,599.64 = 102,559.43/x
  3. Step 3: Cross multiply
    192,465.48x = 288,599.64 × 102,559.43
  4. Step 4: Simplify right side
    192,465.48x = 29,598,613,133.61
  5. Step 5: Solve for x
    x = 29,598,613,133.61/192,465.48
  6. Step 6: Final answer
    x = 153,786.61

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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.