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Finding the Fourth Proportional to 149,037, 205,566.90 and 98,033.64

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Solution

The fourth proportional to 149,037, 205,566.90 and 98,033.64 is: 135,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,037 : 205,566.90 = 98,033.64 : x
  2. Step 2: Convert to fraction form
    149,037/205,566.90 = 98,033.64/x
  3. Step 3: Cross multiply
    149,037x = 205,566.90 × 98,033.64
  4. Step 4: Simplify right side
    149,037x = 20,152,471,470.52
  5. Step 5: Solve for x
    x = 20,152,471,470.52/149,037
  6. Step 6: Final answer
    x = 135,217.91

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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.