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Finding the Fourth Proportional to 200,858.40, 277,175.30 and 110,212.11

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Solution

The fourth proportional to 200,858.40, 277,175.30 and 110,212.11 is: 152,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,858.40 : 277,175.30 = 110,212.11 : x
  2. Step 2: Convert to fraction form
    200,858.40/277,175.30 = 110,212.11/x
  3. Step 3: Cross multiply
    200,858.40x = 277,175.30 × 110,212.11
  4. Step 4: Simplify right side
    200,858.40x = 30,548,074,721.77
  5. Step 5: Solve for x
    x = 30,548,074,721.77/200,858.40
  6. Step 6: Final answer
    x = 152,087.61

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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.