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Finding the Fourth Proportional to 331,098.30, 496,647.45 and 81,780.30

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Solution

The fourth proportional to 331,098.30, 496,647.45 and 81,780.30 is: 122,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,098.30 : 496,647.45 = 81,780.30 : x
  2. Step 2: Convert to fraction form
    331,098.30/496,647.45 = 81,780.30/x
  3. Step 3: Cross multiply
    331,098.30x = 496,647.45 × 81,780.30
  4. Step 4: Simplify right side
    331,098.30x = 40,615,977,455.24
  5. Step 5: Solve for x
    x = 40,615,977,455.24/331,098.30
  6. Step 6: Final answer
    x = 122,670.45

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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.