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Finding the Fourth Proportional to 106,202.32, 146,550.92 and 60,879.76

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Solution

The fourth proportional to 106,202.32, 146,550.92 and 60,879.76 is: 84,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,202.32 : 146,550.92 = 60,879.76 : x
  2. Step 2: Convert to fraction form
    106,202.32/146,550.92 = 60,879.76/x
  3. Step 3: Cross multiply
    106,202.32x = 146,550.92 × 60,879.76
  4. Step 4: Simplify right side
    106,202.32x = 8,921,984,837.38
  5. Step 5: Solve for x
    x = 8,921,984,837.38/106,202.32
  6. Step 6: Final answer
    x = 84,009.32

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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.