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Finding the Fourth Proportional to 200,692.91, 301,023.63 and 56,592.90

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Solution

The fourth proportional to 200,692.91, 301,023.63 and 56,592.90 is: 84,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,692.91 : 301,023.63 = 56,592.90 : x
  2. Step 2: Convert to fraction form
    200,692.91/301,023.63 = 56,592.90/x
  3. Step 3: Cross multiply
    200,692.91x = 301,023.63 × 56,592.90
  4. Step 4: Simplify right side
    200,692.91x = 17,035,800,190.23
  5. Step 5: Solve for x
    x = 17,035,800,190.23/200,692.91
  6. Step 6: Final answer
    x = 84,884.91

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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.