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Finding the Fourth Proportional to 171,110.20, 256,373.70 and 146,032.60

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Solution

The fourth proportional to 171,110.20, 256,373.70 and 146,032.60 is: 218,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,110.20 : 256,373.70 = 146,032.60 : x
  2. Step 2: Convert to fraction form
    171,110.20/256,373.70 = 146,032.60/x
  3. Step 3: Cross multiply
    171,110.20x = 256,373.70 × 146,032.60
  4. Step 4: Simplify right side
    171,110.20x = 37,438,917,982.62
  5. Step 5: Solve for x
    x = 37,438,917,982.62/171,110.20
  6. Step 6: Final answer
    x = 218,800.04

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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.