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Finding the Fourth Proportional to 146,015.31, 219,049.98 and 46,200.63

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Solution

The fourth proportional to 146,015.31, 219,049.98 and 46,200.63 is: 69,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,015.31 : 219,049.98 = 46,200.63 : x
  2. Step 2: Convert to fraction form
    146,015.31/219,049.98 = 46,200.63/x
  3. Step 3: Cross multiply
    146,015.31x = 219,049.98 × 46,200.63
  4. Step 4: Simplify right side
    146,015.31x = 10,120,247,077.49
  5. Step 5: Solve for x
    x = 10,120,247,077.49/146,015.31
  6. Step 6: Final answer
    x = 69,309.49

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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.