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Finding the Fourth Proportional to 188,267.46, 282,455.88 and 75,889.68

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Solution

The fourth proportional to 188,267.46, 282,455.88 and 75,889.68 is: 113,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,267.46 : 282,455.88 = 75,889.68 : x
  2. Step 2: Convert to fraction form
    188,267.46/282,455.88 = 75,889.68/x
  3. Step 3: Cross multiply
    188,267.46x = 282,455.88 × 75,889.68
  4. Step 4: Simplify right side
    188,267.46x = 21,435,486,347.32
  5. Step 5: Solve for x
    x = 21,435,486,347.32/188,267.46
  6. Step 6: Final answer
    x = 113,856.57

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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.