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Finding the Fourth Proportional to 227,361.14, 340,947.87 and 77,613.50

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Solution

The fourth proportional to 227,361.14, 340,947.87 and 77,613.50 is: 116,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,361.14 : 340,947.87 = 77,613.50 : x
  2. Step 2: Convert to fraction form
    227,361.14/340,947.87 = 77,613.50/x
  3. Step 3: Cross multiply
    227,361.14x = 340,947.87 × 77,613.50
  4. Step 4: Simplify right side
    227,361.14x = 26,462,157,508.25
  5. Step 5: Solve for x
    x = 26,462,157,508.25/227,361.14
  6. Step 6: Final answer
    x = 116,388.22

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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.