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Finding the Fourth Proportional to 140,496.69, 193,881.49 and 76,833.12

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Solution

The fourth proportional to 140,496.69, 193,881.49 and 76,833.12 is: 106,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,496.69 : 193,881.49 = 76,833.12 : x
  2. Step 2: Convert to fraction form
    140,496.69/193,881.49 = 76,833.12/x
  3. Step 3: Cross multiply
    140,496.69x = 193,881.49 × 76,833.12
  4. Step 4: Simplify right side
    140,496.69x = 14,896,518,433.38
  5. Step 5: Solve for x
    x = 14,896,518,433.38/140,496.69
  6. Step 6: Final answer
    x = 106,027.54

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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.