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Finding the Fourth Proportional to 106,271.34, 146,655.42 and 58,524.88

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Solution

The fourth proportional to 106,271.34, 146,655.42 and 58,524.88 is: 80,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,271.34 : 146,655.42 = 58,524.88 : x
  2. Step 2: Convert to fraction form
    106,271.34/146,655.42 = 58,524.88/x
  3. Step 3: Cross multiply
    106,271.34x = 146,655.42 × 58,524.88
  4. Step 4: Simplify right side
    106,271.34x = 8,582,990,856.85
  5. Step 5: Solve for x
    x = 8,582,990,856.85/106,271.34
  6. Step 6: Final answer
    x = 80,764.87

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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.