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Finding the Fourth Proportional to 238,099.20, 357,148.80 and 185,548

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Solution

The fourth proportional to 238,099.20, 357,148.80 and 185,548 is: 278,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,099.20 : 357,148.80 = 185,548 : x
  2. Step 2: Convert to fraction form
    238,099.20/357,148.80 = 185,548/x
  3. Step 3: Cross multiply
    238,099.20x = 357,148.80 × 185,548
  4. Step 4: Simplify right side
    238,099.20x = 66,268,245,542.40
  5. Step 5: Solve for x
    x = 66,268,245,542.40/238,099.20
  6. Step 6: Final answer
    x = 278,322

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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.