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Finding the Fourth Proportional to 323,173.14, 484,829.20 and 161,155.47

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Solution

The fourth proportional to 323,173.14, 484,829.20 and 161,155.47 is: 241,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,173.14 : 484,829.20 = 161,155.47 : x
  2. Step 2: Convert to fraction form
    323,173.14/484,829.20 = 161,155.47/x
  3. Step 3: Cross multiply
    323,173.14x = 484,829.20 × 161,155.47
  4. Step 4: Simplify right side
    323,173.14x = 78,132,878,708.78
  5. Step 5: Solve for x
    x = 78,132,878,708.78/323,173.14
  6. Step 6: Final answer
    x = 241,767.86

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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.