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Finding the Fourth Proportional to 133,102.71, 199,663.65 and 41,910.30

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Solution

The fourth proportional to 133,102.71, 199,663.65 and 41,910.30 is: 62,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,102.71 : 199,663.65 = 41,910.30 : x
  2. Step 2: Convert to fraction form
    133,102.71/199,663.65 = 41,910.30/x
  3. Step 3: Cross multiply
    133,102.71x = 199,663.65 × 41,910.30
  4. Step 4: Simplify right side
    133,102.71x = 8,367,963,470.60
  5. Step 5: Solve for x
    x = 8,367,963,470.60/133,102.71
  6. Step 6: Final answer
    x = 62,868.47

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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.