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Finding the Fourth Proportional to 230,262.84, 345,295.44 and 80,458.20

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Solution

The fourth proportional to 230,262.84, 345,295.44 and 80,458.20 is: 120,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,262.84 : 345,295.44 = 80,458.20 : x
  2. Step 2: Convert to fraction form
    230,262.84/345,295.44 = 80,458.20/x
  3. Step 3: Cross multiply
    230,262.84x = 345,295.44 × 80,458.20
  4. Step 4: Simplify right side
    230,262.84x = 27,781,849,570.61
  5. Step 5: Solve for x
    x = 27,781,849,570.61/230,262.84
  6. Step 6: Final answer
    x = 120,652.77

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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.