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Finding the Fourth Proportional to 106,983.90, 147,601.44 and 61,660.44

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Solution

The fourth proportional to 106,983.90, 147,601.44 and 61,660.44 is: 85,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983.90 : 147,601.44 = 61,660.44 : x
  2. Step 2: Convert to fraction form
    106,983.90/147,601.44 = 61,660.44/x
  3. Step 3: Cross multiply
    106,983.90x = 147,601.44 × 61,660.44
  4. Step 4: Simplify right side
    106,983.90x = 9,101,169,735.03
  5. Step 5: Solve for x
    x = 9,101,169,735.03/106,983.90
  6. Step 6: Final answer
    x = 85,070.46

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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.