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Finding the Fourth Proportional to 133,037.13, 199,449.74 and 76,813.46

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Solution

The fourth proportional to 133,037.13, 199,449.74 and 76,813.46 is: 115,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037.13 : 199,449.74 = 76,813.46 : x
  2. Step 2: Convert to fraction form
    133,037.13/199,449.74 = 76,813.46/x
  3. Step 3: Cross multiply
    133,037.13x = 199,449.74 × 76,813.46
  4. Step 4: Simplify right side
    133,037.13x = 15,320,424,241.43
  5. Step 5: Solve for x
    x = 15,320,424,241.43/133,037.13
  6. Step 6: Final answer
    x = 115,159.01

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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.