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Finding the Fourth Proportional to 613,902.54, 920,845.60 and 158,495.33

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Solution

The fourth proportional to 613,902.54, 920,845.60 and 158,495.33 is: 237,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,902.54 : 920,845.60 = 158,495.33 : x
  2. Step 2: Convert to fraction form
    613,902.54/920,845.60 = 158,495.33/x
  3. Step 3: Cross multiply
    613,902.54x = 920,845.60 × 158,495.33
  4. Step 4: Simplify right side
    613,902.54x = 145,949,727,251.05
  5. Step 5: Solve for x
    x = 145,949,727,251.05/613,902.54
  6. Step 6: Final answer
    x = 237,740.88

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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.