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Finding the Fourth Proportional to 188,565.66, 282,926.82 and 76,325.22

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Solution

The fourth proportional to 188,565.66, 282,926.82 and 76,325.22 is: 114,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,565.66 : 282,926.82 = 76,325.22 : x
  2. Step 2: Convert to fraction form
    188,565.66/282,926.82 = 76,325.22/x
  3. Step 3: Cross multiply
    188,565.66x = 282,926.82 × 76,325.22
  4. Step 4: Simplify right side
    188,565.66x = 21,594,451,780.40
  5. Step 5: Solve for x
    x = 21,594,451,780.40/188,565.66
  6. Step 6: Final answer
    x = 114,519.54

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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.