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Finding the Fourth Proportional to 136,693.70, 205,089.77 and 47,961.03

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Solution

The fourth proportional to 136,693.70, 205,089.77 and 47,961.03 is: 71,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,693.70 : 205,089.77 = 47,961.03 : x
  2. Step 2: Convert to fraction form
    136,693.70/205,089.77 = 47,961.03/x
  3. Step 3: Cross multiply
    136,693.70x = 205,089.77 × 47,961.03
  4. Step 4: Simplify right side
    136,693.70x = 9,836,316,371.86
  5. Step 5: Solve for x
    x = 9,836,316,371.86/136,693.70
  6. Step 6: Final answer
    x = 71,958.82

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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.