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Finding the Fourth Proportional to 206,753.70, 285,285.98 and 121,887.16

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Solution

The fourth proportional to 206,753.70, 285,285.98 and 121,887.16 is: 168,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,753.70 : 285,285.98 = 121,887.16 : x
  2. Step 2: Convert to fraction form
    206,753.70/285,285.98 = 121,887.16/x
  3. Step 3: Cross multiply
    206,753.70x = 285,285.98 × 121,887.16
  4. Step 4: Simplify right side
    206,753.70x = 34,772,697,890.02
  5. Step 5: Solve for x
    x = 34,772,697,890.02/206,753.70
  6. Step 6: Final answer
    x = 168,184.16

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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.