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Finding the Fourth Proportional to 111,812.22, 154,311.78 and 83,468.70

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Solution

The fourth proportional to 111,812.22, 154,311.78 and 83,468.70 is: 115,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,812.22 : 154,311.78 = 83,468.70 : x
  2. Step 2: Convert to fraction form
    111,812.22/154,311.78 = 83,468.70/x
  3. Step 3: Cross multiply
    111,812.22x = 154,311.78 × 83,468.70
  4. Step 4: Simplify right side
    111,812.22x = 12,880,203,671.29
  5. Step 5: Solve for x
    x = 12,880,203,671.29/111,812.22
  6. Step 6: Final answer
    x = 115,194.96

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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.