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Finding the Fourth Proportional to 135,082.64, 202,624.02 and 35,242.70

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Solution

The fourth proportional to 135,082.64, 202,624.02 and 35,242.70 is: 52,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,082.64 : 202,624.02 = 35,242.70 : x
  2. Step 2: Convert to fraction form
    135,082.64/202,624.02 = 35,242.70/x
  3. Step 3: Cross multiply
    135,082.64x = 202,624.02 × 35,242.70
  4. Step 4: Simplify right side
    135,082.64x = 7,141,017,549.65
  5. Step 5: Solve for x
    x = 7,141,017,549.65/135,082.64
  6. Step 6: Final answer
    x = 52,864.07

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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.