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Finding the Fourth Proportional to 114,978.75, 158,646.78 and 67,222.86

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Solution

The fourth proportional to 114,978.75, 158,646.78 and 67,222.86 is: 92,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,978.75 : 158,646.78 = 67,222.86 : x
  2. Step 2: Convert to fraction form
    114,978.75/158,646.78 = 67,222.86/x
  3. Step 3: Cross multiply
    114,978.75x = 158,646.78 × 67,222.86
  4. Step 4: Simplify right side
    114,978.75x = 10,664,690,281.39
  5. Step 5: Solve for x
    x = 10,664,690,281.39/114,978.75
  6. Step 6: Final answer
    x = 92,753.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.