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Finding the Fourth Proportional to 230,076.72, 345,172.32 and 182,869.92

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Solution

The fourth proportional to 230,076.72, 345,172.32 and 182,869.92 is: 274,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,076.72 : 345,172.32 = 182,869.92 : x
  2. Step 2: Convert to fraction form
    230,076.72/345,172.32 = 182,869.92/x
  3. Step 3: Cross multiply
    230,076.72x = 345,172.32 × 182,869.92
  4. Step 4: Simplify right side
    230,076.72x = 63,121,634,544.61
  5. Step 5: Solve for x
    x = 63,121,634,544.61/230,076.72
  6. Step 6: Final answer
    x = 274,350.38

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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.