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Finding the Fourth Proportional to 111,245.66, 166,929.24 and 47,193.90

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Solution

The fourth proportional to 111,245.66, 166,929.24 and 47,193.90 is: 70,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,245.66 : 166,929.24 = 47,193.90 : x
  2. Step 2: Convert to fraction form
    111,245.66/166,929.24 = 47,193.90/x
  3. Step 3: Cross multiply
    111,245.66x = 166,929.24 × 47,193.90
  4. Step 4: Simplify right side
    111,245.66x = 7,878,041,859.64
  5. Step 5: Solve for x
    x = 7,878,041,859.64/111,245.66
  6. Step 6: Final answer
    x = 70,816.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.