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Finding the Fourth Proportional to 201,692.76, 302,625.54 and 83,450.04

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Solution

The fourth proportional to 201,692.76, 302,625.54 and 83,450.04 is: 125,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,692.76 : 302,625.54 = 83,450.04 : x
  2. Step 2: Convert to fraction form
    201,692.76/302,625.54 = 83,450.04/x
  3. Step 3: Cross multiply
    201,692.76x = 302,625.54 × 83,450.04
  4. Step 4: Simplify right side
    201,692.76x = 25,254,113,418.02
  5. Step 5: Solve for x
    x = 25,254,113,418.02/201,692.76
  6. Step 6: Final answer
    x = 125,210.81

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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.