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Finding the Fourth Proportional to 203,886.20, 305,829.30 and 133,027.40

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Solution

The fourth proportional to 203,886.20, 305,829.30 and 133,027.40 is: 199,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,886.20 : 305,829.30 = 133,027.40 : x
  2. Step 2: Convert to fraction form
    203,886.20/305,829.30 = 133,027.40/x
  3. Step 3: Cross multiply
    203,886.20x = 305,829.30 × 133,027.40
  4. Step 4: Simplify right side
    203,886.20x = 40,683,676,622.82
  5. Step 5: Solve for x
    x = 40,683,676,622.82/203,886.20
  6. Step 6: Final answer
    x = 199,541.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.