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Finding the Fourth Proportional to 167,142.94, 250,478.70 and 92,296.78

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Solution

The fourth proportional to 167,142.94, 250,478.70 and 92,296.78 is: 138,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,142.94 : 250,478.70 = 92,296.78 : x
  2. Step 2: Convert to fraction form
    167,142.94/250,478.70 = 92,296.78/x
  3. Step 3: Cross multiply
    167,142.94x = 250,478.70 × 92,296.78
  4. Step 4: Simplify right side
    167,142.94x = 23,118,377,468.59
  5. Step 5: Solve for x
    x = 23,118,377,468.59/167,142.94
  6. Step 6: Final answer
    x = 138,315.01

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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.