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Finding the Fourth Proportional to 206,490.15, 284,654.79 and 145,953.99

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Solution

The fourth proportional to 206,490.15, 284,654.79 and 145,953.99 is: 201,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,490.15 : 284,654.79 = 145,953.99 : x
  2. Step 2: Convert to fraction form
    206,490.15/284,654.79 = 145,953.99/x
  3. Step 3: Cross multiply
    206,490.15x = 284,654.79 × 145,953.99
  4. Step 4: Simplify right side
    206,490.15x = 41,546,502,373.11
  5. Step 5: Solve for x
    x = 41,546,502,373.11/206,490.15
  6. Step 6: Final answer
    x = 201,203.31

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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.