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Finding the Fourth Proportional to 204,833.60, 306,962.40 and 162,785.60

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Solution

The fourth proportional to 204,833.60, 306,962.40 and 162,785.60 is: 243,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,833.60 : 306,962.40 = 162,785.60 : x
  2. Step 2: Convert to fraction form
    204,833.60/306,962.40 = 162,785.60/x
  3. Step 3: Cross multiply
    204,833.60x = 306,962.40 × 162,785.60
  4. Step 4: Simplify right side
    204,833.60x = 49,969,058,461.44
  5. Step 5: Solve for x
    x = 49,969,058,461.44/204,833.60
  6. Step 6: Final answer
    x = 243,949.52

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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.