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Finding the Fourth Proportional to 200,115.51, 299,692.22 and 114,466.78

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Solution

The fourth proportional to 200,115.51, 299,692.22 and 114,466.78 is: 171,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,115.51 : 299,692.22 = 114,466.78 : x
  2. Step 2: Convert to fraction form
    200,115.51/299,692.22 = 114,466.78/x
  3. Step 3: Cross multiply
    200,115.51x = 299,692.22 × 114,466.78
  4. Step 4: Simplify right side
    200,115.51x = 34,304,803,414.45
  5. Step 5: Solve for x
    x = 34,304,803,414.45/200,115.51
  6. Step 6: Final answer
    x = 171,425.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.