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Finding the Fourth Proportional to 106,272, 146,655.36 and 58,525.25

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Solution

The fourth proportional to 106,272, 146,655.36 and 58,525.25 is: 80,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,272 : 146,655.36 = 58,525.25 : x
  2. Step 2: Convert to fraction form
    106,272/146,655.36 = 58,525.25/x
  3. Step 3: Cross multiply
    106,272x = 146,655.36 × 58,525.25
  4. Step 4: Simplify right side
    106,272x = 8,583,040,874.56
  5. Step 5: Solve for x
    x = 8,583,040,874.56/106,272
  6. Step 6: Final answer
    x = 80,764.84

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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.