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Finding the Fourth Proportional to 105,847.86, 146,069.97 and 59,906.67

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Solution

The fourth proportional to 105,847.86, 146,069.97 and 59,906.67 is: 82,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,847.86 : 146,069.97 = 59,906.67 : x
  2. Step 2: Convert to fraction form
    105,847.86/146,069.97 = 59,906.67/x
  3. Step 3: Cross multiply
    105,847.86x = 146,069.97 × 59,906.67
  4. Step 4: Simplify right side
    105,847.86x = 8,750,565,489.70
  5. Step 5: Solve for x
    x = 8,750,565,489.70/105,847.86
  6. Step 6: Final answer
    x = 82,671.16

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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.