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Finding the Fourth Proportional to 110,771, 166,225.62 and 45,107

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Solution

The fourth proportional to 110,771, 166,225.62 and 45,107 is: 67,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,771 : 166,225.62 = 45,107 : x
  2. Step 2: Convert to fraction form
    110,771/166,225.62 = 45,107/x
  3. Step 3: Cross multiply
    110,771x = 166,225.62 × 45,107
  4. Step 4: Simplify right side
    110,771x = 7,497,939,041.34
  5. Step 5: Solve for x
    x = 7,497,939,041.34/110,771
  6. Step 6: Final answer
    x = 67,688.65

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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.