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Finding the Fourth Proportional to 202,264.34, 303,396.54 and 189,798.44

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Solution

The fourth proportional to 202,264.34, 303,396.54 and 189,798.44 is: 284,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,264.34 : 303,396.54 = 189,798.44 : x
  2. Step 2: Convert to fraction form
    202,264.34/303,396.54 = 189,798.44/x
  3. Step 3: Cross multiply
    202,264.34x = 303,396.54 × 189,798.44
  4. Step 4: Simplify right side
    202,264.34x = 57,584,189,993.40
  5. Step 5: Solve for x
    x = 57,584,189,993.40/202,264.34
  6. Step 6: Final answer
    x = 284,697.69

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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.