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Finding the Fourth Proportional to 200,772.33, 277,074.48 and 120,184.29

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Solution

The fourth proportional to 200,772.33, 277,074.48 and 120,184.29 is: 165,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,772.33 : 277,074.48 = 120,184.29 : x
  2. Step 2: Convert to fraction form
    200,772.33/277,074.48 = 120,184.29/x
  3. Step 3: Cross multiply
    200,772.33x = 277,074.48 × 120,184.29
  4. Step 4: Simplify right side
    200,772.33x = 33,299,999,655.92
  5. Step 5: Solve for x
    x = 33,299,999,655.92/200,772.33
  6. Step 6: Final answer
    x = 165,859.51

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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.