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Finding the Fourth Proportional to 100,147.50, 138,203.54 and 54,825.34

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Solution

The fourth proportional to 100,147.50, 138,203.54 and 54,825.34 is: 75,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147.50 : 138,203.54 = 54,825.34 : x
  2. Step 2: Convert to fraction form
    100,147.50/138,203.54 = 54,825.34/x
  3. Step 3: Cross multiply
    100,147.50x = 138,203.54 × 54,825.34
  4. Step 4: Simplify right side
    100,147.50x = 7,577,056,552.28
  5. Step 5: Solve for x
    x = 7,577,056,552.28/100,147.50
  6. Step 6: Final answer
    x = 75,658.97

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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.