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Finding the Fourth Proportional to 202,294.29, 303,456.06 and 77,635.29

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Solution

The fourth proportional to 202,294.29, 303,456.06 and 77,635.29 is: 116,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,294.29 : 303,456.06 = 77,635.29 : x
  2. Step 2: Convert to fraction form
    202,294.29/303,456.06 = 77,635.29/x
  3. Step 3: Cross multiply
    202,294.29x = 303,456.06 × 77,635.29
  4. Step 4: Simplify right side
    202,294.29x = 23,558,899,220.36
  5. Step 5: Solve for x
    x = 23,558,899,220.36/202,294.29
  6. Step 6: Final answer
    x = 116,458.55

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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.