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Finding the Fourth Proportional to 100,261.63, 138,361.05 and 59,977.09

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Solution

The fourth proportional to 100,261.63, 138,361.05 and 59,977.09 is: 82,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,261.63 : 138,361.05 = 59,977.09 : x
  2. Step 2: Convert to fraction form
    100,261.63/138,361.05 = 59,977.09/x
  3. Step 3: Cross multiply
    100,261.63x = 138,361.05 × 59,977.09
  4. Step 4: Simplify right side
    100,261.63x = 8,298,492,156.65
  5. Step 5: Solve for x
    x = 8,298,492,156.65/100,261.63
  6. Step 6: Final answer
    x = 82,768.38

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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.