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Finding the Fourth Proportional to 206,000.08, 284,412.36 and 141,576.40

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Solution

The fourth proportional to 206,000.08, 284,412.36 and 141,576.40 is: 195,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,000.08 : 284,412.36 = 141,576.40 : x
  2. Step 2: Convert to fraction form
    206,000.08/284,412.36 = 141,576.40/x
  3. Step 3: Cross multiply
    206,000.08x = 284,412.36 × 141,576.40
  4. Step 4: Simplify right side
    206,000.08x = 40,266,078,044.30
  5. Step 5: Solve for x
    x = 40,266,078,044.30/206,000.08
  6. Step 6: Final answer
    x = 195,466.32

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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.