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Finding the Fourth Proportional to 106,419.30, 146,859.39 and 58,677.90

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Solution

The fourth proportional to 106,419.30, 146,859.39 and 58,677.90 is: 80,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.30 : 146,859.39 = 58,677.90 : x
  2. Step 2: Convert to fraction form
    106,419.30/146,859.39 = 58,677.90/x
  3. Step 3: Cross multiply
    106,419.30x = 146,859.39 × 58,677.90
  4. Step 4: Simplify right side
    106,419.30x = 8,617,400,600.48
  5. Step 5: Solve for x
    x = 8,617,400,600.48/106,419.30
  6. Step 6: Final answer
    x = 80,975.92

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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.