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Finding the Fourth Proportional to 106,098.45, 146,418.20 and 58,354.21

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Solution

The fourth proportional to 106,098.45, 146,418.20 and 58,354.21 is: 80,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,098.45 : 146,418.20 = 58,354.21 : x
  2. Step 2: Convert to fraction form
    106,098.45/146,418.20 = 58,354.21/x
  3. Step 3: Cross multiply
    106,098.45x = 146,418.20 × 58,354.21
  4. Step 4: Simplify right side
    106,098.45x = 8,544,118,390.62
  5. Step 5: Solve for x
    x = 8,544,118,390.62/106,098.45
  6. Step 6: Final answer
    x = 80,530.10

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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.