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Finding the Fourth Proportional to 133,513.92, 200,268 and 61,457.76

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Solution

The fourth proportional to 133,513.92, 200,268 and 61,457.76 is: 92,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,513.92 : 200,268 = 61,457.76 : x
  2. Step 2: Convert to fraction form
    133,513.92/200,268 = 61,457.76/x
  3. Step 3: Cross multiply
    133,513.92x = 200,268 × 61,457.76
  4. Step 4: Simplify right side
    133,513.92x = 12,308,022,679.68
  5. Step 5: Solve for x
    x = 12,308,022,679.68/133,513.92
  6. Step 6: Final answer
    x = 92,185.31

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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.