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Finding the Fourth Proportional to 171,097.20, 256,354.20 and 146,019.60

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Solution

The fourth proportional to 171,097.20, 256,354.20 and 146,019.60 is: 218,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,097.20 : 256,354.20 = 146,019.60 : x
  2. Step 2: Convert to fraction form
    171,097.20/256,354.20 = 146,019.60/x
  3. Step 3: Cross multiply
    171,097.20x = 256,354.20 × 146,019.60
  4. Step 4: Simplify right side
    171,097.20x = 37,432,737,742.32
  5. Step 5: Solve for x
    x = 37,432,737,742.32/171,097.20
  6. Step 6: Final answer
    x = 218,780.54

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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.