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Finding the Fourth Proportional to 100,216.25, 138,294.37 and 59,952.28

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Solution

The fourth proportional to 100,216.25, 138,294.37 and 59,952.28 is: 82,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216.25 : 138,294.37 = 59,952.28 : x
  2. Step 2: Convert to fraction form
    100,216.25/138,294.37 = 59,952.28/x
  3. Step 3: Cross multiply
    100,216.25x = 138,294.37 × 59,952.28
  4. Step 4: Simplify right side
    100,216.25x = 8,291,062,792.66
  5. Step 5: Solve for x
    x = 8,291,062,792.66/100,216.25
  6. Step 6: Final answer
    x = 82,731.72

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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.