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Finding the Fourth Proportional to 105,993.46, 146,263.80 and 58,245.76

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Solution

The fourth proportional to 105,993.46, 146,263.80 and 58,245.76 is: 80,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,993.46 : 146,263.80 = 58,245.76 : x
  2. Step 2: Convert to fraction form
    105,993.46/146,263.80 = 58,245.76/x
  3. Step 3: Cross multiply
    105,993.46x = 146,263.80 × 58,245.76
  4. Step 4: Simplify right side
    105,993.46x = 8,519,246,191.49
  5. Step 5: Solve for x
    x = 8,519,246,191.49/105,993.46
  6. Step 6: Final answer
    x = 80,375.21

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1.5x scale

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.