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Finding the Fourth Proportional to 212,843.89, 319,473.60 and 175,781.53

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Solution

The fourth proportional to 212,843.89, 319,473.60 and 175,781.53 is: 263,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,843.89 : 319,473.60 = 175,781.53 : x
  2. Step 2: Convert to fraction form
    212,843.89/319,473.60 = 175,781.53/x
  3. Step 3: Cross multiply
    212,843.89x = 319,473.60 × 175,781.53
  4. Step 4: Simplify right side
    212,843.89x = 56,157,558,202.61
  5. Step 5: Solve for x
    x = 56,157,558,202.61/212,843.89
  6. Step 6: Final answer
    x = 263,843.88

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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.