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Finding the Fourth Proportional to 204,038.40, 306,057.60 and 156,799.20

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Solution

The fourth proportional to 204,038.40, 306,057.60 and 156,799.20 is: 235,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,038.40 : 306,057.60 = 156,799.20 : x
  2. Step 2: Convert to fraction form
    204,038.40/306,057.60 = 156,799.20/x
  3. Step 3: Cross multiply
    204,038.40x = 306,057.60 × 156,799.20
  4. Step 4: Simplify right side
    204,038.40x = 47,989,586,833.92
  5. Step 5: Solve for x
    x = 47,989,586,833.92/204,038.40
  6. Step 6: Final answer
    x = 235,198.80

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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.