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Finding the Fourth Proportional to 149,785.08, 206,787.78 and 103,911

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Solution

The fourth proportional to 149,785.08, 206,787.78 and 103,911 is: 143,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,785.08 : 206,787.78 = 103,911 : x
  2. Step 2: Convert to fraction form
    149,785.08/206,787.78 = 103,911/x
  3. Step 3: Cross multiply
    149,785.08x = 206,787.78 × 103,911
  4. Step 4: Simplify right side
    149,785.08x = 21,487,525,007.58
  5. Step 5: Solve for x
    x = 21,487,525,007.58/149,785.08
  6. Step 6: Final answer
    x = 143,455.71

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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.