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Finding the Fourth Proportional to 133,502.98, 200,273.91 and 40,016.02

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Solution

The fourth proportional to 133,502.98, 200,273.91 and 40,016.02 is: 60,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,502.98 : 200,273.91 = 40,016.02 : x
  2. Step 2: Convert to fraction form
    133,502.98/200,273.91 = 40,016.02/x
  3. Step 3: Cross multiply
    133,502.98x = 200,273.91 × 40,016.02
  4. Step 4: Simplify right side
    133,502.98x = 8,014,164,788.04
  5. Step 5: Solve for x
    x = 8,014,164,788.04/133,502.98
  6. Step 6: Final answer
    x = 60,029.86

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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.