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Finding the Fourth Proportional to 206,429.60, 284,895.12 and 116,996

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Solution

The fourth proportional to 206,429.60, 284,895.12 and 116,996 is: 161,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,429.60 : 284,895.12 = 116,996 : x
  2. Step 2: Convert to fraction form
    206,429.60/284,895.12 = 116,996/x
  3. Step 3: Cross multiply
    206,429.60x = 284,895.12 × 116,996
  4. Step 4: Simplify right side
    206,429.60x = 33,331,589,459.52
  5. Step 5: Solve for x
    x = 33,331,589,459.52/206,429.60
  6. Step 6: Final answer
    x = 161,467.10

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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.