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Finding the Fourth Proportional to 149,692.76, 224,542.32 and 53,636.24

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Solution

The fourth proportional to 149,692.76, 224,542.32 and 53,636.24 is: 80,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,692.76 : 224,542.32 = 53,636.24 : x
  2. Step 2: Convert to fraction form
    149,692.76/224,542.32 = 53,636.24/x
  3. Step 3: Cross multiply
    149,692.76x = 224,542.32 × 53,636.24
  4. Step 4: Simplify right side
    149,692.76x = 12,043,606,461.12
  5. Step 5: Solve for x
    x = 12,043,606,461.12/149,692.76
  6. Step 6: Final answer
    x = 80,455.51

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1.5x scale

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.