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Finding the Fourth Proportional to 550,146.64, 825,131.38 and 150,693.98

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Solution

The fourth proportional to 550,146.64, 825,131.38 and 150,693.98 is: 226,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,146.64 : 825,131.38 = 150,693.98 : x
  2. Step 2: Convert to fraction form
    550,146.64/825,131.38 = 150,693.98/x
  3. Step 3: Cross multiply
    550,146.64x = 825,131.38 × 150,693.98
  4. Step 4: Simplify right side
    550,146.64x = 124,342,331,675.09
  5. Step 5: Solve for x
    x = 124,342,331,675.09/550,146.64
  6. Step 6: Final answer
    x = 226,016.71

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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.