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Finding the Fourth Proportional to 206,417.38, 284,858.34 and 114,538.34

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Solution

The fourth proportional to 206,417.38, 284,858.34 and 114,538.34 is: 158,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,417.38 : 284,858.34 = 114,538.34 : x
  2. Step 2: Convert to fraction form
    206,417.38/284,858.34 = 114,538.34/x
  3. Step 3: Cross multiply
    206,417.38x = 284,858.34 × 114,538.34
  4. Step 4: Simplify right side
    206,417.38x = 32,627,201,398.76
  5. Step 5: Solve for x
    x = 32,627,201,398.76/206,417.38
  6. Step 6: Final answer
    x = 158,064.22

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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.