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Finding the Fourth Proportional to 111,156.47, 166,759.64 and 51,959.84

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Solution

The fourth proportional to 111,156.47, 166,759.64 and 51,959.84 is: 77,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,156.47 : 166,759.64 = 51,959.84 : x
  2. Step 2: Convert to fraction form
    111,156.47/166,759.64 = 51,959.84/x
  3. Step 3: Cross multiply
    111,156.47x = 166,759.64 × 51,959.84
  4. Step 4: Simplify right side
    111,156.47x = 8,664,803,119.26
  5. Step 5: Solve for x
    x = 8,664,803,119.26/111,156.47
  6. Step 6: Final answer
    x = 77,951.41

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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.