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Finding the Fourth Proportional to 149,740.49, 206,642.30 and 81,758.05

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Solution

The fourth proportional to 149,740.49, 206,642.30 and 81,758.05 is: 112,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,740.49 : 206,642.30 = 81,758.05 : x
  2. Step 2: Convert to fraction form
    149,740.49/206,642.30 = 81,758.05/x
  3. Step 3: Cross multiply
    149,740.49x = 206,642.30 × 81,758.05
  4. Step 4: Simplify right side
    149,740.49x = 16,894,671,495.52
  5. Step 5: Solve for x
    x = 16,894,671,495.52/149,740.49
  6. Step 6: Final answer
    x = 112,826.34

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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.