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Finding the Fourth Proportional to 203,491.40, 305,528.70 and 153,919.40

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Solution

The fourth proportional to 203,491.40, 305,528.70 and 153,919.40 is: 231,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,491.40 : 305,528.70 = 153,919.40 : x
  2. Step 2: Convert to fraction form
    203,491.40/305,528.70 = 153,919.40/x
  3. Step 3: Cross multiply
    203,491.40x = 305,528.70 × 153,919.40
  4. Step 4: Simplify right side
    203,491.40x = 47,026,794,186.78
  5. Step 5: Solve for x
    x = 47,026,794,186.78/203,491.40
  6. Step 6: Final answer
    x = 231,099.66

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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.