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Finding the Fourth Proportional to 106,449.82, 146,894.04 and 61,095.88

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Solution

The fourth proportional to 106,449.82, 146,894.04 and 61,095.88 is: 84,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,449.82 : 146,894.04 = 61,095.88 : x
  2. Step 2: Convert to fraction form
    106,449.82/146,894.04 = 61,095.88/x
  3. Step 3: Cross multiply
    106,449.82x = 146,894.04 × 61,095.88
  4. Step 4: Simplify right side
    106,449.82x = 8,974,620,640.56
  5. Step 5: Solve for x
    x = 8,974,620,640.56/106,449.82
  6. Step 6: Final answer
    x = 84,308.46

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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.