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Finding the Fourth Proportional to 302,112.32, 416,935.38 and 199,961.82

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Solution

The fourth proportional to 302,112.32, 416,935.38 and 199,961.82 is: 275,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,112.32 : 416,935.38 = 199,961.82 : x
  2. Step 2: Convert to fraction form
    302,112.32/416,935.38 = 199,961.82/x
  3. Step 3: Cross multiply
    302,112.32x = 416,935.38 × 199,961.82
  4. Step 4: Simplify right side
    302,112.32x = 83,371,157,407.19
  5. Step 5: Solve for x
    x = 83,371,157,407.19/302,112.32
  6. Step 6: Final answer
    x = 275,960.80

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