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Finding the Fourth Proportional to 133,027.61, 199,368.14 and 54,049.50

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Solution

The fourth proportional to 133,027.61, 199,368.14 and 54,049.50 is: 81,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,027.61 : 199,368.14 = 54,049.50 : x
  2. Step 2: Convert to fraction form
    133,027.61/199,368.14 = 54,049.50/x
  3. Step 3: Cross multiply
    133,027.61x = 199,368.14 × 54,049.50
  4. Step 4: Simplify right side
    133,027.61x = 10,775,748,012.68
  5. Step 5: Solve for x
    x = 10,775,748,012.68/133,027.61
  6. Step 6: Final answer
    x = 81,003.85

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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.