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Finding the Fourth Proportional to 106,203.58, 146,540.70 and 67,933.82

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Solution

The fourth proportional to 106,203.58, 146,540.70 and 67,933.82 is: 93,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,203.58 : 146,540.70 = 67,933.82 : x
  2. Step 2: Convert to fraction form
    106,203.58/146,540.70 = 67,933.82/x
  3. Step 3: Cross multiply
    106,203.58x = 146,540.70 × 67,933.82
  4. Step 4: Simplify right side
    106,203.58x = 9,955,069,536.47
  5. Step 5: Solve for x
    x = 9,955,069,536.47/106,203.58
  6. Step 6: Final answer
    x = 93,735.72

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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.