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Finding the Fourth Proportional to 200,115.64, 299,692.41 and 114,466.91

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Solution

The fourth proportional to 200,115.64, 299,692.41 and 114,466.91 is: 171,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,115.64 : 299,692.41 = 114,466.91 : x
  2. Step 2: Convert to fraction form
    200,115.64/299,692.41 = 114,466.91/x
  3. Step 3: Cross multiply
    200,115.64x = 299,692.41 × 114,466.91
  4. Step 4: Simplify right side
    200,115.64x = 34,304,862,338.52
  5. Step 5: Solve for x
    x = 34,304,862,338.52/200,115.64
  6. Step 6: Final answer
    x = 171,425.20

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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.