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Finding the Fourth Proportional to 266,654.86, 399,982.30 and 106,803.38

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Solution

The fourth proportional to 266,654.86, 399,982.30 and 106,803.38 is: 160,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,654.86 : 399,982.30 = 106,803.38 : x
  2. Step 2: Convert to fraction form
    266,654.86/399,982.30 = 106,803.38/x
  3. Step 3: Cross multiply
    266,654.86x = 399,982.30 × 106,803.38
  4. Step 4: Simplify right side
    266,654.86x = 42,719,461,580.17
  5. Step 5: Solve for x
    x = 42,719,461,580.17/266,654.86
  6. Step 6: Final answer
    x = 160,205.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.