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Finding the Fourth Proportional to 171,802, 237,086.90 and 96,350.50

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Solution

The fourth proportional to 171,802, 237,086.90 and 96,350.50 is: 132,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,802 : 237,086.90 = 96,350.50 : x
  2. Step 2: Convert to fraction form
    171,802/237,086.90 = 96,350.50/x
  3. Step 3: Cross multiply
    171,802x = 237,086.90 × 96,350.50
  4. Step 4: Simplify right side
    171,802x = 22,843,441,358.45
  5. Step 5: Solve for x
    x = 22,843,441,358.45/171,802
  6. Step 6: Final answer
    x = 132,963.77

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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.