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Finding the Fourth Proportional to 202,566.30, 303,663.69 and 77,813.34

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Solution

The fourth proportional to 202,566.30, 303,663.69 and 77,813.34 is: 116,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,566.30 : 303,663.69 = 77,813.34 : x
  2. Step 2: Convert to fraction form
    202,566.30/303,663.69 = 77,813.34/x
  3. Step 3: Cross multiply
    202,566.30x = 303,663.69 × 77,813.34
  4. Step 4: Simplify right side
    202,566.30x = 23,629,085,955.62
  5. Step 5: Solve for x
    x = 23,629,085,955.62/202,566.30
  6. Step 6: Final answer
    x = 116,648.65

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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.