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Finding the Fourth Proportional to 133,027.65, 199,541.48 and 109,408.05

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Solution

The fourth proportional to 133,027.65, 199,541.48 and 109,408.05 is: 164,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,027.65 : 199,541.48 = 109,408.05 : x
  2. Step 2: Convert to fraction form
    133,027.65/199,541.48 = 109,408.05/x
  3. Step 3: Cross multiply
    133,027.65x = 199,541.48 × 109,408.05
  4. Step 4: Simplify right side
    133,027.65x = 21,831,443,673.87
  5. Step 5: Solve for x
    x = 21,831,443,673.87/133,027.65
  6. Step 6: Final answer
    x = 164,112.08

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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.