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Finding the Fourth Proportional to 100,200.36, 138,276.54 and 57,758.52

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Solution

The fourth proportional to 100,200.36, 138,276.54 and 57,758.52 is: 79,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.36 : 138,276.54 = 57,758.52 : x
  2. Step 2: Convert to fraction form
    100,200.36/138,276.54 = 57,758.52/x
  3. Step 3: Cross multiply
    100,200.36x = 138,276.54 × 57,758.52
  4. Step 4: Simplify right side
    100,200.36x = 7,986,648,301.12
  5. Step 5: Solve for x
    x = 7,986,648,301.12/100,200.36
  6. Step 6: Final answer
    x = 79,706.78

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