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Finding the Fourth Proportional to 106,563.22, 147,062.13 and 61,255.84

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Solution

The fourth proportional to 106,563.22, 147,062.13 and 61,255.84 is: 84,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,563.22 : 147,062.13 = 61,255.84 : x
  2. Step 2: Convert to fraction form
    106,563.22/147,062.13 = 61,255.84/x
  3. Step 3: Cross multiply
    106,563.22x = 147,062.13 × 61,255.84
  4. Step 4: Simplify right side
    106,563.22x = 9,008,414,305.34
  5. Step 5: Solve for x
    x = 9,008,414,305.34/106,563.22
  6. Step 6: Final answer
    x = 84,535.87

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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.