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Finding the Fourth Proportional to 106,229.30, 146,590.71 and 60,905.10

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Solution

The fourth proportional to 106,229.30, 146,590.71 and 60,905.10 is: 84,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,229.30 : 146,590.71 = 60,905.10 : x
  2. Step 2: Convert to fraction form
    106,229.30/146,590.71 = 60,905.10/x
  3. Step 3: Cross multiply
    106,229.30x = 146,590.71 × 60,905.10
  4. Step 4: Simplify right side
    106,229.30x = 8,928,121,851.62
  5. Step 5: Solve for x
    x = 8,928,121,851.62/106,229.30
  6. Step 6: Final answer
    x = 84,045.76

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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.