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Finding the Fourth Proportional to 201,692.40, 302,020.20 and 148,815.60

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Solution

The fourth proportional to 201,692.40, 302,020.20 and 148,815.60 is: 222,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,692.40 : 302,020.20 = 148,815.60 : x
  2. Step 2: Convert to fraction form
    201,692.40/302,020.20 = 148,815.60/x
  3. Step 3: Cross multiply
    201,692.40x = 302,020.20 × 148,815.60
  4. Step 4: Simplify right side
    201,692.40x = 44,945,317,275.12
  5. Step 5: Solve for x
    x = 44,945,317,275.12/201,692.40
  6. Step 6: Final answer
    x = 222,840.91

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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.