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Finding the Fourth Proportional to 149,258.30, 205,976.13 and 81,274.22

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Solution

The fourth proportional to 149,258.30, 205,976.13 and 81,274.22 is: 112,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,258.30 : 205,976.13 = 81,274.22 : x
  2. Step 2: Convert to fraction form
    149,258.30/205,976.13 = 81,274.22/x
  3. Step 3: Cross multiply
    149,258.30x = 205,976.13 × 81,274.22
  4. Step 4: Simplify right side
    149,258.30x = 16,740,549,304.37
  5. Step 5: Solve for x
    x = 16,740,549,304.37/149,258.30
  6. Step 6: Final answer
    x = 112,158.25

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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.