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Finding the Fourth Proportional to 206,233.48, 284,602.74 and 116,809.48

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Solution

The fourth proportional to 206,233.48, 284,602.74 and 116,809.48 is: 161,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,233.48 : 284,602.74 = 116,809.48 : x
  2. Step 2: Convert to fraction form
    206,233.48/284,602.74 = 116,809.48/x
  3. Step 3: Cross multiply
    206,233.48x = 284,602.74 × 116,809.48
  4. Step 4: Simplify right side
    206,233.48x = 33,244,298,065.98
  5. Step 5: Solve for x
    x = 33,244,298,065.98/206,233.48
  6. Step 6: Final answer
    x = 161,197.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.