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Finding the Fourth Proportional to 106,177.20, 146,498.04 and 68,406

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Solution

The fourth proportional to 106,177.20, 146,498.04 and 68,406 is: 94,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,177.20 : 146,498.04 = 68,406 : x
  2. Step 2: Convert to fraction form
    106,177.20/146,498.04 = 68,406/x
  3. Step 3: Cross multiply
    106,177.20x = 146,498.04 × 68,406
  4. Step 4: Simplify right side
    106,177.20x = 10,021,344,924.24
  5. Step 5: Solve for x
    x = 10,021,344,924.24/106,177.20
  6. Step 6: Final answer
    x = 94,383.21

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