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Finding the Fourth Proportional to 188,104.62, 282,161.32 and 45,951.10

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Solution

The fourth proportional to 188,104.62, 282,161.32 and 45,951.10 is: 68,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,104.62 : 282,161.32 = 45,951.10 : x
  2. Step 2: Convert to fraction form
    188,104.62/282,161.32 = 45,951.10/x
  3. Step 3: Cross multiply
    188,104.62x = 282,161.32 × 45,951.10
  4. Step 4: Simplify right side
    188,104.62x = 12,965,623,031.45
  5. Step 5: Solve for x
    x = 12,965,623,031.45/188,104.62
  6. Step 6: Final answer
    x = 68,927.72

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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.