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Finding the Fourth Proportional to 200,874.40, 277,205.91 and 110,231.89

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Solution

The fourth proportional to 200,874.40, 277,205.91 and 110,231.89 is: 152,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,874.40 : 277,205.91 = 110,231.89 : x
  2. Step 2: Convert to fraction form
    200,874.40/277,205.91 = 110,231.89/x
  3. Step 3: Cross multiply
    200,874.40x = 277,205.91 × 110,231.89
  4. Step 4: Simplify right side
    200,874.40x = 30,556,931,378.47
  5. Step 5: Solve for x
    x = 30,556,931,378.47/200,874.40
  6. Step 6: Final answer
    x = 152,119.59

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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.