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Finding the Fourth Proportional to 133,021.60, 199,359.14 and 54,043.50

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Solution

The fourth proportional to 133,021.60, 199,359.14 and 54,043.50 is: 80,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021.60 : 199,359.14 = 54,043.50 : x
  2. Step 2: Convert to fraction form
    133,021.60/199,359.14 = 54,043.50/x
  3. Step 3: Cross multiply
    133,021.60x = 199,359.14 × 54,043.50
  4. Step 4: Simplify right side
    133,021.60x = 10,774,065,682.59
  5. Step 5: Solve for x
    x = 10,774,065,682.59/133,021.60
  6. Step 6: Final answer
    x = 80,994.86

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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.