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Finding the Fourth Proportional to 200,797.98, 277,103.34 and 110,154.12

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Solution

The fourth proportional to 200,797.98, 277,103.34 and 110,154.12 is: 152,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,797.98 : 277,103.34 = 110,154.12 : x
  2. Step 2: Convert to fraction form
    200,797.98/277,103.34 = 110,154.12/x
  3. Step 3: Cross multiply
    200,797.98x = 277,103.34 × 110,154.12
  4. Step 4: Simplify right side
    200,797.98x = 30,524,074,566.76
  5. Step 5: Solve for x
    x = 30,524,074,566.76/200,797.98
  6. Step 6: Final answer
    x = 152,013.85

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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.