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Finding the Fourth Proportional to 155,533.62, 231,695.24 and 150,829.29

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Solution

The fourth proportional to 155,533.62, 231,695.24 and 150,829.29 is: 224,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,533.62 : 231,695.24 = 150,829.29 : x
  2. Step 2: Convert to fraction form
    155,533.62/231,695.24 = 150,829.29/x
  3. Step 3: Cross multiply
    155,533.62x = 231,695.24 × 150,829.29
  4. Step 4: Simplify right side
    155,533.62x = 34,946,427,791.43
  5. Step 5: Solve for x
    x = 34,946,427,791.43/155,533.62
  6. Step 6: Final answer
    x = 224,687.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.