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Finding the Fourth Proportional to 105,469.68, 158,228.22 and 35,347.20

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Solution

The fourth proportional to 105,469.68, 158,228.22 and 35,347.20 is: 53,028.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,469.68 : 158,228.22 = 35,347.20 : x
  2. Step 2: Convert to fraction form
    105,469.68/158,228.22 = 35,347.20/x
  3. Step 3: Cross multiply
    105,469.68x = 158,228.22 × 35,347.20
  4. Step 4: Simplify right side
    105,469.68x = 5,592,924,537.98
  5. Step 5: Solve for x
    x = 5,592,924,537.98/105,469.68
  6. Step 6: Final answer
    x = 53,028.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.