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Finding the Fourth Proportional to 133,696.81, 200,410.26 and 83,811.94

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Solution

The fourth proportional to 133,696.81, 200,410.26 and 83,811.94 is: 125,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,696.81 : 200,410.26 = 83,811.94 : x
  2. Step 2: Convert to fraction form
    133,696.81/200,410.26 = 83,811.94/x
  3. Step 3: Cross multiply
    133,696.81x = 200,410.26 × 83,811.94
  4. Step 4: Simplify right side
    133,696.81x = 16,796,772,686.50
  5. Step 5: Solve for x
    x = 16,796,772,686.50/133,696.81
  6. Step 6: Final answer
    x = 125,633.31

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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.