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Finding the Fourth Proportional to 106,405.70, 146,836.08 and 58,006.62

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Solution

The fourth proportional to 106,405.70, 146,836.08 and 58,006.62 is: 80,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,405.70 : 146,836.08 = 58,006.62 : x
  2. Step 2: Convert to fraction form
    106,405.70/146,836.08 = 58,006.62/x
  3. Step 3: Cross multiply
    106,405.70x = 146,836.08 × 58,006.62
  4. Step 4: Simplify right side
    106,405.70x = 8,517,464,694.85
  5. Step 5: Solve for x
    x = 8,517,464,694.85/106,405.70
  6. Step 6: Final answer
    x = 80,047.08

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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.