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Finding the Fourth Proportional to 202,692.10, 304,010.55 and 52,944.10

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Solution

The fourth proportional to 202,692.10, 304,010.55 and 52,944.10 is: 79,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,692.10 : 304,010.55 = 52,944.10 : x
  2. Step 2: Convert to fraction form
    202,692.10/304,010.55 = 52,944.10/x
  3. Step 3: Cross multiply
    202,692.10x = 304,010.55 × 52,944.10
  4. Step 4: Simplify right side
    202,692.10x = 16,095,564,960.26
  5. Step 5: Solve for x
    x = 16,095,564,960.26/202,692.10
  6. Step 6: Final answer
    x = 79,408.94

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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.