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Finding the Fourth Proportional to 257,980.96, 387,082.32 and 133,409.44

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Solution

The fourth proportional to 257,980.96, 387,082.32 and 133,409.44 is: 200,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,980.96 : 387,082.32 = 133,409.44 : x
  2. Step 2: Convert to fraction form
    257,980.96/387,082.32 = 133,409.44/x
  3. Step 3: Cross multiply
    257,980.96x = 387,082.32 × 133,409.44
  4. Step 4: Simplify right side
    257,980.96x = 51,640,435,545.10
  5. Step 5: Solve for x
    x = 51,640,435,545.10/257,980.96
  6. Step 6: Final answer
    x = 200,171.50

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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.