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Finding the Fourth Proportional to 358,692.78, 538,033.41 and 122,200.14

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Solution

The fourth proportional to 358,692.78, 538,033.41 and 122,200.14 is: 183,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,692.78 : 538,033.41 = 122,200.14 : x
  2. Step 2: Convert to fraction form
    358,692.78/538,033.41 = 122,200.14/x
  3. Step 3: Cross multiply
    358,692.78x = 538,033.41 × 122,200.14
  4. Step 4: Simplify right side
    358,692.78x = 65,747,758,026.68
  5. Step 5: Solve for x
    x = 65,747,758,026.68/358,692.78
  6. Step 6: Final answer
    x = 183,298.25

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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.