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Finding the Fourth Proportional to 135,382.64, 203,157.96 and 65,269.04

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Solution

The fourth proportional to 135,382.64, 203,157.96 and 65,269.04 is: 97,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,382.64 : 203,157.96 = 65,269.04 : x
  2. Step 2: Convert to fraction form
    135,382.64/203,157.96 = 65,269.04/x
  3. Step 3: Cross multiply
    135,382.64x = 203,157.96 × 65,269.04
  4. Step 4: Simplify right side
    135,382.64x = 13,259,925,017.56
  5. Step 5: Solve for x
    x = 13,259,925,017.56/135,382.64
  6. Step 6: Final answer
    x = 97,944.06

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Why These Related Problems?

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