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Finding the Fourth Proportional to 281,317.58, 422,048.87 and 101,395.82

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Solution

The fourth proportional to 281,317.58, 422,048.87 and 101,395.82 is: 152,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,317.58 : 422,048.87 = 101,395.82 : x
  2. Step 2: Convert to fraction form
    281,317.58/422,048.87 = 101,395.82/x
  3. Step 3: Cross multiply
    281,317.58x = 422,048.87 × 101,395.82
  4. Step 4: Simplify right side
    281,317.58x = 42,793,991,253.72
  5. Step 5: Solve for x
    x = 42,793,991,253.72/281,317.58
  6. Step 6: Final answer
    x = 152,119.86

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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.