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Finding the Fourth Proportional to 117,643.31, 162,369.64 and 67,342.31

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Solution

The fourth proportional to 117,643.31, 162,369.64 and 67,342.31 is: 92,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,643.31 : 162,369.64 = 67,342.31 : x
  2. Step 2: Convert to fraction form
    117,643.31/162,369.64 = 67,342.31/x
  3. Step 3: Cross multiply
    117,643.31x = 162,369.64 × 67,342.31
  4. Step 4: Simplify right side
    117,643.31x = 10,934,347,121.57
  5. Step 5: Solve for x
    x = 10,934,347,121.57/117,643.31
  6. Step 6: Final answer
    x = 92,944.91

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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.