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Finding the Fourth Proportional to 315,138.30, 434,874.87 and 171,897.18

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Solution

The fourth proportional to 315,138.30, 434,874.87 and 171,897.18 is: 237,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,138.30 : 434,874.87 = 171,897.18 : x
  2. Step 2: Convert to fraction form
    315,138.30/434,874.87 = 171,897.18/x
  3. Step 3: Cross multiply
    315,138.30x = 434,874.87 × 171,897.18
  4. Step 4: Simplify right side
    315,138.30x = 74,753,763,805.87
  5. Step 5: Solve for x
    x = 74,753,763,805.87/315,138.30
  6. Step 6: Final answer
    x = 237,209.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.