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Finding the Fourth Proportional to 188,902.40, 283,353.60 and 158,489.60

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Solution

The fourth proportional to 188,902.40, 283,353.60 and 158,489.60 is: 237,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,902.40 : 283,353.60 = 158,489.60 : x
  2. Step 2: Convert to fraction form
    188,902.40/283,353.60 = 158,489.60/x
  3. Step 3: Cross multiply
    188,902.40x = 283,353.60 × 158,489.60
  4. Step 4: Simplify right side
    188,902.40x = 44,908,598,722.56
  5. Step 5: Solve for x
    x = 44,908,598,722.56/188,902.40
  6. Step 6: Final answer
    x = 237,734.40

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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.