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Finding the Fourth Proportional to 149,348, 206,099.38 and 81,364.83

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Solution

The fourth proportional to 149,348, 206,099.38 and 81,364.83 is: 112,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,348 : 206,099.38 = 81,364.83 : x
  2. Step 2: Convert to fraction form
    149,348/206,099.38 = 81,364.83/x
  3. Step 3: Cross multiply
    149,348x = 206,099.38 × 81,364.83
  4. Step 4: Simplify right side
    149,348x = 16,769,241,016.81
  5. Step 5: Solve for x
    x = 16,769,241,016.81/149,348
  6. Step 6: Final answer
    x = 112,283.00

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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.