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Finding the Fourth Proportional to 133,023.60, 199,362.14 and 54,045.50

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Solution

The fourth proportional to 133,023.60, 199,362.14 and 54,045.50 is: 80,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,023.60 : 199,362.14 = 54,045.50 : x
  2. Step 2: Convert to fraction form
    133,023.60/199,362.14 = 54,045.50/x
  3. Step 3: Cross multiply
    133,023.60x = 199,362.14 × 54,045.50
  4. Step 4: Simplify right side
    133,023.60x = 10,774,626,537.37
  5. Step 5: Solve for x
    x = 10,774,626,537.37/133,023.60
  6. Step 6: Final answer
    x = 80,997.86

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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.