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Finding the Fourth Proportional to 286,065.82, 429,157.71 and 93,954.73

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Solution

The fourth proportional to 286,065.82, 429,157.71 and 93,954.73 is: 140,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,065.82 : 429,157.71 = 93,954.73 : x
  2. Step 2: Convert to fraction form
    286,065.82/429,157.71 = 93,954.73/x
  3. Step 3: Cross multiply
    286,065.82x = 429,157.71 × 93,954.73
  4. Step 4: Simplify right side
    286,065.82x = 40,321,396,770.47
  5. Step 5: Solve for x
    x = 40,321,396,770.47/286,065.82
  6. Step 6: Final answer
    x = 140,951.47

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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.