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Finding the Fourth Proportional to 106,335.82, 146,746.75 and 61,022.09

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Solution

The fourth proportional to 106,335.82, 146,746.75 and 61,022.09 is: 84,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,335.82 : 146,746.75 = 61,022.09 : x
  2. Step 2: Convert to fraction form
    106,335.82/146,746.75 = 61,022.09/x
  3. Step 3: Cross multiply
    106,335.82x = 146,746.75 × 61,022.09
  4. Step 4: Simplify right side
    106,335.82x = 8,954,792,803.17
  5. Step 5: Solve for x
    x = 8,954,792,803.17/106,335.82
  6. Step 6: Final answer
    x = 84,212.39

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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.