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Finding the Fourth Proportional to 111,122, 166,700.36 and 36,224.76

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Solution

The fourth proportional to 111,122, 166,700.36 and 36,224.76 is: 54,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,122 : 166,700.36 = 36,224.76 : x
  2. Step 2: Convert to fraction form
    111,122/166,700.36 = 36,224.76/x
  3. Step 3: Cross multiply
    111,122x = 166,700.36 × 36,224.76
  4. Step 4: Simplify right side
    111,122x = 6,038,680,532.91
  5. Step 5: Solve for x
    x = 6,038,680,532.91/111,122
  6. Step 6: Final answer
    x = 54,342.80

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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.