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Finding the Fourth Proportional to 133,544.96, 200,179 and 83,510.22

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Solution

The fourth proportional to 133,544.96, 200,179 and 83,510.22 is: 125,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,544.96 : 200,179 = 83,510.22 : x
  2. Step 2: Convert to fraction form
    133,544.96/200,179 = 83,510.22/x
  3. Step 3: Cross multiply
    133,544.96x = 200,179 × 83,510.22
  4. Step 4: Simplify right side
    133,544.96x = 16,716,992,329.38
  5. Step 5: Solve for x
    x = 16,716,992,329.38/133,544.96
  6. Step 6: Final answer
    x = 125,178.76

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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.