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Finding the Fourth Proportional to 114,161.49, 171,194.01 and 34,210.82

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Solution

The fourth proportional to 114,161.49, 171,194.01 and 34,210.82 is: 51,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,161.49 : 171,194.01 = 34,210.82 : x
  2. Step 2: Convert to fraction form
    114,161.49/171,194.01 = 34,210.82/x
  3. Step 3: Cross multiply
    114,161.49x = 171,194.01 × 34,210.82
  4. Step 4: Simplify right side
    114,161.49x = 5,856,687,461.19
  5. Step 5: Solve for x
    x = 5,856,687,461.19/114,161.49
  6. Step 6: Final answer
    x = 51,301.78

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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.