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Finding the Fourth Proportional to 206,094.75, 284,410.76 and 116,670.75

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Solution

The fourth proportional to 206,094.75, 284,410.76 and 116,670.75 is: 161,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,094.75 : 284,410.76 = 116,670.75 : x
  2. Step 2: Convert to fraction form
    206,094.75/284,410.76 = 116,670.75/x
  3. Step 3: Cross multiply
    206,094.75x = 284,410.76 × 116,670.75
  4. Step 4: Simplify right side
    206,094.75x = 33,182,416,093.92
  5. Step 5: Solve for x
    x = 33,182,416,093.92/206,094.75
  6. Step 6: Final answer
    x = 161,005.64

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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.