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Finding the Fourth Proportional to 133,548.32, 200,328.96 and 110,132

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Solution

The fourth proportional to 133,548.32, 200,328.96 and 110,132 is: 165,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,548.32 : 200,328.96 = 110,132 : x
  2. Step 2: Convert to fraction form
    133,548.32/200,328.96 = 110,132/x
  3. Step 3: Cross multiply
    133,548.32x = 200,328.96 × 110,132
  4. Step 4: Simplify right side
    133,548.32x = 22,062,629,022.72
  5. Step 5: Solve for x
    x = 22,062,629,022.72/133,548.32
  6. Step 6: Final answer
    x = 165,203.34

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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.