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Finding the Fourth Proportional to 202,461.90, 303,692.85 and 155,222.70

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Solution

The fourth proportional to 202,461.90, 303,692.85 and 155,222.70 is: 232,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,461.90 : 303,692.85 = 155,222.70 : x
  2. Step 2: Convert to fraction form
    202,461.90/303,692.85 = 155,222.70/x
  3. Step 3: Cross multiply
    202,461.90x = 303,692.85 × 155,222.70
  4. Step 4: Simplify right side
    202,461.90x = 47,140,024,147.70
  5. Step 5: Solve for x
    x = 47,140,024,147.70/202,461.90
  6. Step 6: Final answer
    x = 232,834.05

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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.