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Finding the Fourth Proportional to 204,740.70, 307,111.05 and 133,881.90

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Solution

The fourth proportional to 204,740.70, 307,111.05 and 133,881.90 is: 200,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,740.70 : 307,111.05 = 133,881.90 : x
  2. Step 2: Convert to fraction form
    204,740.70/307,111.05 = 133,881.90/x
  3. Step 3: Cross multiply
    204,740.70x = 307,111.05 × 133,881.90
  4. Step 4: Simplify right side
    204,740.70x = 41,116,610,885.00
  5. Step 5: Solve for x
    x = 41,116,610,885.00/204,740.70
  6. Step 6: Final answer
    x = 200,822.85

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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.