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Finding the Fourth Proportional to 98,563.20, 147,844.80 and 36,225.60

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Solution

The fourth proportional to 98,563.20, 147,844.80 and 36,225.60 is: 54,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,563.20 : 147,844.80 = 36,225.60 : x
  2. Step 2: Convert to fraction form
    98,563.20/147,844.80 = 36,225.60/x
  3. Step 3: Cross multiply
    98,563.20x = 147,844.80 × 36,225.60
  4. Step 4: Simplify right side
    98,563.20x = 5,355,766,586.88
  5. Step 5: Solve for x
    x = 5,355,766,586.88/98,563.20
  6. Step 6: Final answer
    x = 54,338.40

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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.