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Finding the Fourth Proportional to 131,838.36, 197,766.77 and 65,260.61

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Solution

The fourth proportional to 131,838.36, 197,766.77 and 65,260.61 is: 97,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,838.36 : 197,766.77 = 65,260.61 : x
  2. Step 2: Convert to fraction form
    131,838.36/197,766.77 = 65,260.61/x
  3. Step 3: Cross multiply
    131,838.36x = 197,766.77 × 65,260.61
  4. Step 4: Simplify right side
    131,838.36x = 12,906,380,030.64
  5. Step 5: Solve for x
    x = 12,906,380,030.64/131,838.36
  6. Step 6: Final answer
    x = 97,895.48

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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.