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Finding the Fourth Proportional to 106,398.80, 146,828.75 and 58,651.12

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Solution

The fourth proportional to 106,398.80, 146,828.75 and 58,651.12 is: 80,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398.80 : 146,828.75 = 58,651.12 : x
  2. Step 2: Convert to fraction form
    106,398.80/146,828.75 = 58,651.12/x
  3. Step 3: Cross multiply
    106,398.80x = 146,828.75 × 58,651.12
  4. Step 4: Simplify right side
    106,398.80x = 8,611,670,635.70
  5. Step 5: Solve for x
    x = 8,611,670,635.70/106,398.80
  6. Step 6: Final answer
    x = 80,937.67

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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.