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Finding the Fourth Proportional to 149,411.90, 206,182.40 and 81,427.43

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Solution

The fourth proportional to 149,411.90, 206,182.40 and 81,427.43 is: 112,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,411.90 : 206,182.40 = 81,427.43 : x
  2. Step 2: Convert to fraction form
    149,411.90/206,182.40 = 81,427.43/x
  3. Step 3: Cross multiply
    149,411.90x = 206,182.40 × 81,427.43
  4. Step 4: Simplify right side
    149,411.90x = 16,788,901,505.18
  5. Step 5: Solve for x
    x = 16,788,901,505.18/149,411.90
  6. Step 6: Final answer
    x = 112,366.57

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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.