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Finding the Fourth Proportional to 187,175.84, 280,958.16 and 108,443.84

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Solution

The fourth proportional to 187,175.84, 280,958.16 and 108,443.84 is: 162,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,175.84 : 280,958.16 = 108,443.84 : x
  2. Step 2: Convert to fraction form
    187,175.84/280,958.16 = 108,443.84/x
  3. Step 3: Cross multiply
    187,175.84x = 280,958.16 × 108,443.84
  4. Step 4: Simplify right side
    187,175.84x = 30,468,181,749.73
  5. Step 5: Solve for x
    x = 30,468,181,749.73/187,175.84
  6. Step 6: Final answer
    x = 162,778.39

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1.5x scale

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.