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Finding the Fourth Proportional to 297,093.06, 409,990.50 and 161,127.72

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Solution

The fourth proportional to 297,093.06, 409,990.50 and 161,127.72 is: 222,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,093.06 : 409,990.50 = 161,127.72 : x
  2. Step 2: Convert to fraction form
    297,093.06/409,990.50 = 161,127.72/x
  3. Step 3: Cross multiply
    297,093.06x = 409,990.50 × 161,127.72
  4. Step 4: Simplify right side
    297,093.06x = 66,060,834,486.66
  5. Step 5: Solve for x
    x = 66,060,834,486.66/297,093.06
  6. Step 6: Final answer
    x = 222,357.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.