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Finding the Fourth Proportional to 206,123, 284,385.12 and 115,466.72

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Solution

The fourth proportional to 206,123, 284,385.12 and 115,466.72 is: 159,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,123 : 284,385.12 = 115,466.72 : x
  2. Step 2: Convert to fraction form
    206,123/284,385.12 = 115,466.72/x
  3. Step 3: Cross multiply
    206,123x = 284,385.12 × 115,466.72
  4. Step 4: Simplify right side
    206,123x = 32,837,017,023.21
  5. Step 5: Solve for x
    x = 32,837,017,023.21/206,123
  6. Step 6: Final answer
    x = 159,307.87

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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.