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Finding the Fourth Proportional to 106,554.92, 146,997.06 and 61,817

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Solution

The fourth proportional to 106,554.92, 146,997.06 and 61,817 is: 85,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,554.92 : 146,997.06 = 61,817 : x
  2. Step 2: Convert to fraction form
    106,554.92/146,997.06 = 61,817/x
  3. Step 3: Cross multiply
    106,554.92x = 146,997.06 × 61,817
  4. Step 4: Simplify right side
    106,554.92x = 9,086,917,258.02
  5. Step 5: Solve for x
    x = 9,086,917,258.02/106,554.92
  6. Step 6: Final answer
    x = 85,279.19

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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.