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Finding the Fourth Proportional to 106,730.73, 147,223.11 and 68,477.25

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Solution

The fourth proportional to 106,730.73, 147,223.11 and 68,477.25 is: 94,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,730.73 : 147,223.11 = 68,477.25 : x
  2. Step 2: Convert to fraction form
    106,730.73/147,223.11 = 68,477.25/x
  3. Step 3: Cross multiply
    106,730.73x = 147,223.11 × 68,477.25
  4. Step 4: Simplify right side
    106,730.73x = 10,081,433,709.25
  5. Step 5: Solve for x
    x = 10,081,433,709.25/106,730.73
  6. Step 6: Final answer
    x = 94,456.71

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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.