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Finding the Fourth Proportional to 159,082.70, 238,624.05 and 133,033.10

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Solution

The fourth proportional to 159,082.70, 238,624.05 and 133,033.10 is: 199,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.70 : 238,624.05 = 133,033.10 : x
  2. Step 2: Convert to fraction form
    159,082.70/238,624.05 = 133,033.10/x
  3. Step 3: Cross multiply
    159,082.70x = 238,624.05 × 133,033.10
  4. Step 4: Simplify right side
    159,082.70x = 31,744,897,106.06
  5. Step 5: Solve for x
    x = 31,744,897,106.06/159,082.70
  6. Step 6: Final answer
    x = 199,549.65

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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.