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Finding the Fourth Proportional to 114,107.73, 157,415.64 and 73,834.47

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Solution

The fourth proportional to 114,107.73, 157,415.64 and 73,834.47 is: 101,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,107.73 : 157,415.64 = 73,834.47 : x
  2. Step 2: Convert to fraction form
    114,107.73/157,415.64 = 73,834.47/x
  3. Step 3: Cross multiply
    114,107.73x = 157,415.64 × 73,834.47
  4. Step 4: Simplify right side
    114,107.73x = 11,622,700,349.11
  5. Step 5: Solve for x
    x = 11,622,700,349.11/114,107.73
  6. Step 6: Final answer
    x = 101,857.26

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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.