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Finding the Fourth Proportional to 100,262.25, 138,361.91 and 59,977.71

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Solution

The fourth proportional to 100,262.25, 138,361.91 and 59,977.71 is: 82,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,262.25 : 138,361.91 = 59,977.71 : x
  2. Step 2: Convert to fraction form
    100,262.25/138,361.91 = 59,977.71/x
  3. Step 3: Cross multiply
    100,262.25x = 138,361.91 × 59,977.71
  4. Step 4: Simplify right side
    100,262.25x = 8,298,630,213.14
  5. Step 5: Solve for x
    x = 8,298,630,213.14/100,262.25
  6. Step 6: Final answer
    x = 82,769.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.