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Finding the Fourth Proportional to 115,246.26, 159,004.54 and 66,838.38

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Solution

The fourth proportional to 115,246.26, 159,004.54 and 66,838.38 is: 92,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,246.26 : 159,004.54 = 66,838.38 : x
  2. Step 2: Convert to fraction form
    115,246.26/159,004.54 = 66,838.38/x
  3. Step 3: Cross multiply
    115,246.26x = 159,004.54 × 66,838.38
  4. Step 4: Simplify right side
    115,246.26x = 10,627,605,871.96
  5. Step 5: Solve for x
    x = 10,627,605,871.96/115,246.26
  6. Step 6: Final answer
    x = 92,216.49

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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.