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Finding the Fourth Proportional to 200,982.42, 277,354.56 and 110,339.88

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Solution

The fourth proportional to 200,982.42, 277,354.56 and 110,339.88 is: 152,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,982.42 : 277,354.56 = 110,339.88 : x
  2. Step 2: Convert to fraction form
    200,982.42/277,354.56 = 110,339.88/x
  3. Step 3: Cross multiply
    200,982.42x = 277,354.56 × 110,339.88
  4. Step 4: Simplify right side
    200,982.42x = 30,603,268,867.85
  5. Step 5: Solve for x
    x = 30,603,268,867.85/200,982.42
  6. Step 6: Final answer
    x = 152,268.39

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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.