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Finding the Fourth Proportional to 106,228.30, 146,589.33 and 60,904.10

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Solution

The fourth proportional to 106,228.30, 146,589.33 and 60,904.10 is: 84,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,228.30 : 146,589.33 = 60,904.10 : x
  2. Step 2: Convert to fraction form
    106,228.30/146,589.33 = 60,904.10/x
  3. Step 3: Cross multiply
    106,228.30x = 146,589.33 × 60,904.10
  4. Step 4: Simplify right side
    106,228.30x = 8,927,891,213.25
  5. Step 5: Solve for x
    x = 8,927,891,213.25/106,228.30
  6. Step 6: Final answer
    x = 84,044.38

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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.