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Finding the Fourth Proportional to 297,053.41, 409,933.82 and 161,087.32

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Solution

The fourth proportional to 297,053.41, 409,933.82 and 161,087.32 is: 222,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,053.41 : 409,933.82 = 161,087.32 : x
  2. Step 2: Convert to fraction form
    297,053.41/409,933.82 = 161,087.32/x
  3. Step 3: Cross multiply
    297,053.41x = 409,933.82 × 161,087.32
  4. Step 4: Simplify right side
    297,053.41x = 66,035,140,752.22
  5. Step 5: Solve for x
    x = 66,035,140,752.22/297,053.41
  6. Step 6: Final answer
    x = 222,300.57

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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.