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Finding the Fourth Proportional to 106,953.30, 147,620.34 and 71,144.82

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Solution

The fourth proportional to 106,953.30, 147,620.34 and 71,144.82 is: 98,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,953.30 : 147,620.34 = 71,144.82 : x
  2. Step 2: Convert to fraction form
    106,953.30/147,620.34 = 71,144.82/x
  3. Step 3: Cross multiply
    106,953.30x = 147,620.34 × 71,144.82
  4. Step 4: Simplify right side
    106,953.30x = 10,502,422,517.64
  5. Step 5: Solve for x
    x = 10,502,422,517.64/106,953.30
  6. Step 6: Final answer
    x = 98,196.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.