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Finding the Fourth Proportional to 100,147.25, 138,203.21 and 55,435.25

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Solution

The fourth proportional to 100,147.25, 138,203.21 and 55,435.25 is: 76,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147.25 : 138,203.21 = 55,435.25 : x
  2. Step 2: Convert to fraction form
    100,147.25/138,203.21 = 55,435.25/x
  3. Step 3: Cross multiply
    100,147.25x = 138,203.21 × 55,435.25
  4. Step 4: Simplify right side
    100,147.25x = 7,661,329,219.98
  5. Step 5: Solve for x
    x = 7,661,329,219.98/100,147.25
  6. Step 6: Final answer
    x = 76,500.65

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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.