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Finding the Fourth Proportional to 272,743.20, 409,114.80 and 123,152.40

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Solution

The fourth proportional to 272,743.20, 409,114.80 and 123,152.40 is: 184,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,743.20 : 409,114.80 = 123,152.40 : x
  2. Step 2: Convert to fraction form
    272,743.20/409,114.80 = 123,152.40/x
  3. Step 3: Cross multiply
    272,743.20x = 409,114.80 × 123,152.40
  4. Step 4: Simplify right side
    272,743.20x = 50,383,469,495.52
  5. Step 5: Solve for x
    x = 50,383,469,495.52/272,743.20
  6. Step 6: Final answer
    x = 184,728.60

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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.