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Finding the Fourth Proportional to 193,012.64, 266,354.22 and 105,796.90

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Solution

The fourth proportional to 193,012.64, 266,354.22 and 105,796.90 is: 145,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,012.64 : 266,354.22 = 105,796.90 : x
  2. Step 2: Convert to fraction form
    193,012.64/266,354.22 = 105,796.90/x
  3. Step 3: Cross multiply
    193,012.64x = 266,354.22 × 105,796.90
  4. Step 4: Simplify right side
    193,012.64x = 28,179,450,777.92
  5. Step 5: Solve for x
    x = 28,179,450,777.92/193,012.64
  6. Step 6: Final answer
    x = 145,997.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.