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Finding the Fourth Proportional to 149,257.44, 223,963.92 and 66,132

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Solution

The fourth proportional to 149,257.44, 223,963.92 and 66,132 is: 99,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,257.44 : 223,963.92 = 66,132 : x
  2. Step 2: Convert to fraction form
    149,257.44/223,963.92 = 66,132/x
  3. Step 3: Cross multiply
    149,257.44x = 223,963.92 × 66,132
  4. Step 4: Simplify right side
    149,257.44x = 14,811,181,957.44
  5. Step 5: Solve for x
    x = 14,811,181,957.44/149,257.44
  6. Step 6: Final answer
    x = 99,232.45

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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.