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Finding the Fourth Proportional to 111,205.12, 166,824.72 and 37,350.40

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Solution

The fourth proportional to 111,205.12, 166,824.72 and 37,350.40 is: 56,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,205.12 : 166,824.72 = 37,350.40 : x
  2. Step 2: Convert to fraction form
    111,205.12/166,824.72 = 37,350.40/x
  3. Step 3: Cross multiply
    111,205.12x = 166,824.72 × 37,350.40
  4. Step 4: Simplify right side
    111,205.12x = 6,230,970,021.89
  5. Step 5: Solve for x
    x = 6,230,970,021.89/111,205.12
  6. Step 6: Final answer
    x = 56,031.32

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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.