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Finding the Fourth Proportional to 182,883.87, 274,298.09 and 49,774.50

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Solution

The fourth proportional to 182,883.87, 274,298.09 and 49,774.50 is: 74,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,883.87 : 274,298.09 = 49,774.50 : x
  2. Step 2: Convert to fraction form
    182,883.87/274,298.09 = 49,774.50/x
  3. Step 3: Cross multiply
    182,883.87x = 274,298.09 × 49,774.50
  4. Step 4: Simplify right side
    182,883.87x = 13,653,050,031.83
  5. Step 5: Solve for x
    x = 13,653,050,031.83/182,883.87
  6. Step 6: Final answer
    x = 74,654.21

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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.