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Finding the Fourth Proportional to 302,099.15, 416,899.44 and 164,278.53

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Solution

The fourth proportional to 302,099.15, 416,899.44 and 164,278.53 is: 226,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,099.15 : 416,899.44 = 164,278.53 : x
  2. Step 2: Convert to fraction form
    302,099.15/416,899.44 = 164,278.53/x
  3. Step 3: Cross multiply
    302,099.15x = 416,899.44 × 164,278.53
  4. Step 4: Simplify right side
    302,099.15x = 68,487,627,161.02
  5. Step 5: Solve for x
    x = 68,487,627,161.02/302,099.15
  6. Step 6: Final answer
    x = 226,705.79

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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.