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Finding the Fourth Proportional to 206,376.67, 284,802.86 and 120,333.34

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Solution

The fourth proportional to 206,376.67, 284,802.86 and 120,333.34 is: 166,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,376.67 : 284,802.86 = 120,333.34 : x
  2. Step 2: Convert to fraction form
    206,376.67/284,802.86 = 120,333.34/x
  3. Step 3: Cross multiply
    206,376.67x = 284,802.86 × 120,333.34
  4. Step 4: Simplify right side
    206,376.67x = 34,271,279,385.35
  5. Step 5: Solve for x
    x = 34,271,279,385.35/206,376.67
  6. Step 6: Final answer
    x = 166,061.79

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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.