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Finding the Fourth Proportional to 201,692.16, 302,362.56 and 83,289.60

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Solution

The fourth proportional to 201,692.16, 302,362.56 and 83,289.60 is: 124,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,692.16 : 302,362.56 = 83,289.60 : x
  2. Step 2: Convert to fraction form
    201,692.16/302,362.56 = 83,289.60/x
  3. Step 3: Cross multiply
    201,692.16x = 302,362.56 × 83,289.60
  4. Step 4: Simplify right side
    201,692.16x = 25,183,656,677.38
  5. Step 5: Solve for x
    x = 25,183,656,677.38/201,692.16
  6. Step 6: Final answer
    x = 124,861.85

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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.