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Finding the Fourth Proportional to 100,197.64, 138,270.90 and 57,757.96

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Solution

The fourth proportional to 100,197.64, 138,270.90 and 57,757.96 is: 79,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197.64 : 138,270.90 = 57,757.96 : x
  2. Step 2: Convert to fraction form
    100,197.64/138,270.90 = 57,757.96/x
  3. Step 3: Cross multiply
    100,197.64x = 138,270.90 × 57,757.96
  4. Step 4: Simplify right side
    100,197.64x = 7,986,245,111.36
  5. Step 5: Solve for x
    x = 7,986,245,111.36/100,197.64
  6. Step 6: Final answer
    x = 79,704.92

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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.