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Finding the Fourth Proportional to 114,107.71, 157,415.61 and 73,834.46

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Solution

The fourth proportional to 114,107.71, 157,415.61 and 73,834.46 is: 101,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,107.71 : 157,415.61 = 73,834.46 : x
  2. Step 2: Convert to fraction form
    114,107.71/157,415.61 = 73,834.46/x
  3. Step 3: Cross multiply
    114,107.71x = 157,415.61 × 73,834.46
  4. Step 4: Simplify right side
    114,107.71x = 11,622,696,640.03
  5. Step 5: Solve for x
    x = 11,622,696,640.03/114,107.71
  6. Step 6: Final answer
    x = 101,857.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.