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Finding the Fourth Proportional to 281,494.80, 422,154.89 and 101,556.84

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Solution

The fourth proportional to 281,494.80, 422,154.89 and 101,556.84 is: 152,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,494.80 : 422,154.89 = 101,556.84 : x
  2. Step 2: Convert to fraction form
    281,494.80/422,154.89 = 101,556.84/x
  3. Step 3: Cross multiply
    281,494.80x = 422,154.89 × 101,556.84
  4. Step 4: Simplify right side
    281,494.80x = 42,872,715,890.88
  5. Step 5: Solve for x
    x = 42,872,715,890.88/281,494.80
  6. Step 6: Final answer
    x = 152,303.76

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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.