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Finding the Fourth Proportional to 149,976.40, 224,964.60 and 149,976.40

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Solution

The fourth proportional to 149,976.40, 224,964.60 and 149,976.40 is: 224,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,976.40 : 224,964.60 = 149,976.40 : x
  2. Step 2: Convert to fraction form
    149,976.40/224,964.60 = 149,976.40/x
  3. Step 3: Cross multiply
    149,976.40x = 224,964.60 × 149,976.40
  4. Step 4: Simplify right side
    149,976.40x = 33,739,380,835.44
  5. Step 5: Solve for x
    x = 33,739,380,835.44/149,976.40
  6. Step 6: Final answer
    x = 224,964.60

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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.