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Finding the Fourth Proportional to 200,692.82, 301,055.66 and 100,801.64

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Solution

The fourth proportional to 200,692.82, 301,055.66 and 100,801.64 is: 151,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,692.82 : 301,055.66 = 100,801.64 : x
  2. Step 2: Convert to fraction form
    200,692.82/301,055.66 = 100,801.64/x
  3. Step 3: Cross multiply
    200,692.82x = 301,055.66 × 100,801.64
  4. Step 4: Simplify right side
    200,692.82x = 30,346,904,259.28
  5. Step 5: Solve for x
    x = 30,346,904,259.28/200,692.82
  6. Step 6: Final answer
    x = 151,210.71

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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.