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Finding the Fourth Proportional to 109,951.81, 151,733.78 and 59,650.81

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Solution

The fourth proportional to 109,951.81, 151,733.78 and 59,650.81 is: 82,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,951.81 : 151,733.78 = 59,650.81 : x
  2. Step 2: Convert to fraction form
    109,951.81/151,733.78 = 59,650.81/x
  3. Step 3: Cross multiply
    109,951.81x = 151,733.78 × 59,650.81
  4. Step 4: Simplify right side
    109,951.81x = 9,051,042,881.36
  5. Step 5: Solve for x
    x = 9,051,042,881.36/109,951.81
  6. Step 6: Final answer
    x = 82,318.27

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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.