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Finding the Fourth Proportional to 206,166.42, 284,387.49 and 130,583.70

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Solution

The fourth proportional to 206,166.42, 284,387.49 and 130,583.70 is: 180,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166.42 : 284,387.49 = 130,583.70 : x
  2. Step 2: Convert to fraction form
    206,166.42/284,387.49 = 130,583.70/x
  3. Step 3: Cross multiply
    206,166.42x = 284,387.49 × 130,583.70
  4. Step 4: Simplify right side
    206,166.42x = 37,136,370,677.91
  5. Step 5: Solve for x
    x = 37,136,370,677.91/206,166.42
  6. Step 6: Final answer
    x = 180,128.13

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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.