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Finding the Fourth Proportional to 111,275, 166,978.11 and 41,203.52

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Solution

The fourth proportional to 111,275, 166,978.11 and 41,203.52 is: 61,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,275 : 166,978.11 = 41,203.52 : x
  2. Step 2: Convert to fraction form
    111,275/166,978.11 = 41,203.52/x
  3. Step 3: Cross multiply
    111,275x = 166,978.11 × 41,203.52
  4. Step 4: Simplify right side
    111,275x = 6,880,085,894.95
  5. Step 5: Solve for x
    x = 6,880,085,894.95/111,275
  6. Step 6: Final answer
    x = 61,829.57

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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.