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Finding the Fourth Proportional to 267,884.48, 369,692.16 and 160,472

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Solution

The fourth proportional to 267,884.48, 369,692.16 and 160,472 is: 221,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,884.48 : 369,692.16 = 160,472 : x
  2. Step 2: Convert to fraction form
    267,884.48/369,692.16 = 160,472/x
  3. Step 3: Cross multiply
    267,884.48x = 369,692.16 × 160,472
  4. Step 4: Simplify right side
    267,884.48x = 59,325,240,299.52
  5. Step 5: Solve for x
    x = 59,325,240,299.52/267,884.48
  6. Step 6: Final answer
    x = 221,458.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.