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Finding the Fourth Proportional to 200,878.83, 277,216.97 and 110,229.50

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Solution

The fourth proportional to 200,878.83, 277,216.97 and 110,229.50 is: 152,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,878.83 : 277,216.97 = 110,229.50 : x
  2. Step 2: Convert to fraction form
    200,878.83/277,216.97 = 110,229.50/x
  3. Step 3: Cross multiply
    200,878.83x = 277,216.97 × 110,229.50
  4. Step 4: Simplify right side
    200,878.83x = 30,557,488,136.51
  5. Step 5: Solve for x
    x = 30,557,488,136.51/200,878.83
  6. Step 6: Final answer
    x = 152,119.01

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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.