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Finding the Fourth Proportional to 201,692.10, 302,538.15 and 169,215.15

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Solution

The fourth proportional to 201,692.10, 302,538.15 and 169,215.15 is: 253,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,692.10 : 302,538.15 = 169,215.15 : x
  2. Step 2: Convert to fraction form
    201,692.10/302,538.15 = 169,215.15/x
  3. Step 3: Cross multiply
    201,692.10x = 302,538.15 × 169,215.15
  4. Step 4: Simplify right side
    201,692.10x = 51,194,038,432.97
  5. Step 5: Solve for x
    x = 51,194,038,432.97/201,692.10
  6. Step 6: Final answer
    x = 253,822.73

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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.