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Finding the Fourth Proportional to 203,002.40, 304,244.40 and 156,022.40

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Solution

The fourth proportional to 203,002.40, 304,244.40 and 156,022.40 is: 233,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,002.40 : 304,244.40 = 156,022.40 : x
  2. Step 2: Convert to fraction form
    203,002.40/304,244.40 = 156,022.40/x
  3. Step 3: Cross multiply
    203,002.40x = 304,244.40 × 156,022.40
  4. Step 4: Simplify right side
    203,002.40x = 47,468,941,474.56
  5. Step 5: Solve for x
    x = 47,468,941,474.56/203,002.40
  6. Step 6: Final answer
    x = 233,834.39

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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.