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Finding the Fourth Proportional to 140,000.74, 193,200.56 and 76,338.38

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Solution

The fourth proportional to 140,000.74, 193,200.56 and 76,338.38 is: 105,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,000.74 : 193,200.56 = 76,338.38 : x
  2. Step 2: Convert to fraction form
    140,000.74/193,200.56 = 76,338.38/x
  3. Step 3: Cross multiply
    140,000.74x = 193,200.56 × 76,338.38
  4. Step 4: Simplify right side
    140,000.74x = 14,748,617,765.49
  5. Step 5: Solve for x
    x = 14,748,617,765.49/140,000.74
  6. Step 6: Final answer
    x = 105,346.71

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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.