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Finding the Fourth Proportional to 106,448.92, 146,920.84 and 61,157.97

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Solution

The fourth proportional to 106,448.92, 146,920.84 and 61,157.97 is: 84,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,448.92 : 146,920.84 = 61,157.97 : x
  2. Step 2: Convert to fraction form
    106,448.92/146,920.84 = 61,157.97/x
  3. Step 3: Cross multiply
    106,448.92x = 146,920.84 × 61,157.97
  4. Step 4: Simplify right side
    106,448.92x = 8,985,380,172.20
  5. Step 5: Solve for x
    x = 8,985,380,172.20/106,448.92
  6. Step 6: Final answer
    x = 84,410.25

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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.