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Finding the Fourth Proportional to 206,376.42, 284,802.57 and 120,333.06

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Solution

The fourth proportional to 206,376.42, 284,802.57 and 120,333.06 is: 166,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,376.42 : 284,802.57 = 120,333.06 : x
  2. Step 2: Convert to fraction form
    206,376.42/284,802.57 = 120,333.06/x
  3. Step 3: Cross multiply
    206,376.42x = 284,802.57 × 120,333.06
  4. Step 4: Simplify right side
    206,376.42x = 34,271,164,743.96
  5. Step 5: Solve for x
    x = 34,271,164,743.96/206,376.42
  6. Step 6: Final answer
    x = 166,061.44

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