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Finding the Fourth Proportional to 188,311.52, 259,806.65 and 106,628.65

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Solution

The fourth proportional to 188,311.52, 259,806.65 and 106,628.65 is: 147,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,311.52 : 259,806.65 = 106,628.65 : x
  2. Step 2: Convert to fraction form
    188,311.52/259,806.65 = 106,628.65/x
  3. Step 3: Cross multiply
    188,311.52x = 259,806.65 × 106,628.65
  4. Step 4: Simplify right side
    188,311.52x = 27,702,831,167.86
  5. Step 5: Solve for x
    x = 27,702,831,167.86/188,311.52
  6. Step 6: Final answer
    x = 147,111.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.