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Finding the Fourth Proportional to 230,025.20, 345,037.80 and 177,537.20

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Solution

The fourth proportional to 230,025.20, 345,037.80 and 177,537.20 is: 266,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,025.20 : 345,037.80 = 177,537.20 : x
  2. Step 2: Convert to fraction form
    230,025.20/345,037.80 = 177,537.20/x
  3. Step 3: Cross multiply
    230,025.20x = 345,037.80 × 177,537.20
  4. Step 4: Simplify right side
    230,025.20x = 61,257,044,906.16
  5. Step 5: Solve for x
    x = 61,257,044,906.16/230,025.20
  6. Step 6: Final answer
    x = 266,305.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.