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Finding the Fourth Proportional to 206,088.75, 284,402.48 and 116,664.75

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Solution

The fourth proportional to 206,088.75, 284,402.48 and 116,664.75 is: 160,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,088.75 : 284,402.48 = 116,664.75 : x
  2. Step 2: Convert to fraction form
    206,088.75/284,402.48 = 116,664.75/x
  3. Step 3: Cross multiply
    206,088.75x = 284,402.48 × 116,664.75
  4. Step 4: Simplify right side
    206,088.75x = 33,179,743,645.26
  5. Step 5: Solve for x
    x = 33,179,743,645.26/206,088.75
  6. Step 6: Final answer
    x = 160,997.36

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1.5x scale

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.