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Finding the Fourth Proportional to 200,889.84, 277,207.78 and 120,315.30

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Solution

The fourth proportional to 200,889.84, 277,207.78 and 120,315.30 is: 166,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,889.84 : 277,207.78 = 120,315.30 : x
  2. Step 2: Convert to fraction form
    200,889.84/277,207.78 = 120,315.30/x
  3. Step 3: Cross multiply
    200,889.84x = 277,207.78 × 120,315.30
  4. Step 4: Simplify right side
    200,889.84x = 33,352,337,213.03
  5. Step 5: Solve for x
    x = 33,352,337,213.03/200,889.84
  6. Step 6: Final answer
    x = 166,023.02

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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.