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Finding the Fourth Proportional to 206,122.01, 284,466.68 and 115,477.38

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Solution

The fourth proportional to 206,122.01, 284,466.68 and 115,477.38 is: 159,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,122.01 : 284,466.68 = 115,477.38 : x
  2. Step 2: Convert to fraction form
    206,122.01/284,466.68 = 115,477.38/x
  3. Step 3: Cross multiply
    206,122.01x = 284,466.68 × 115,477.38
  4. Step 4: Simplify right side
    206,122.01x = 32,849,466,326.31
  5. Step 5: Solve for x
    x = 32,849,466,326.31/206,122.01
  6. Step 6: Final answer
    x = 159,369.04

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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.