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Finding the Fourth Proportional to 192,628.83, 288,992.55 and 112,734.08

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Solution

The fourth proportional to 192,628.83, 288,992.55 and 112,734.08 is: 169,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,628.83 : 288,992.55 = 112,734.08 : x
  2. Step 2: Convert to fraction form
    192,628.83/288,992.55 = 112,734.08/x
  3. Step 3: Cross multiply
    192,628.83x = 288,992.55 × 112,734.08
  4. Step 4: Simplify right side
    192,628.83x = 32,579,309,251.10
  5. Step 5: Solve for x
    x = 32,579,309,251.10/192,628.83
  6. Step 6: Final answer
    x = 169,129.98

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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.