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Finding the Fourth Proportional to 106,439.37, 146,878.77 and 58,691.70

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Solution

The fourth proportional to 106,439.37, 146,878.77 and 58,691.70 is: 80,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,439.37 : 146,878.77 = 58,691.70 : x
  2. Step 2: Convert to fraction form
    106,439.37/146,878.77 = 58,691.70/x
  3. Step 3: Cross multiply
    106,439.37x = 146,878.77 × 58,691.70
  4. Step 4: Simplify right side
    106,439.37x = 8,620,564,705.21
  5. Step 5: Solve for x
    x = 8,620,564,705.21/106,439.37
  6. Step 6: Final answer
    x = 80,990.38

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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.