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Finding the Fourth Proportional to 137,067, 205,620.94 and 42,289.32

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Solution

The fourth proportional to 137,067, 205,620.94 and 42,289.32 is: 63,440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,067 : 205,620.94 = 42,289.32 : x
  2. Step 2: Convert to fraction form
    137,067/205,620.94 = 42,289.32/x
  3. Step 3: Cross multiply
    137,067x = 205,620.94 × 42,289.32
  4. Step 4: Simplify right side
    137,067x = 8,695,569,730.36
  5. Step 5: Solve for x
    x = 8,695,569,730.36/137,067
  6. Step 6: Final answer
    x = 63,440.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.