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Finding the Fourth Proportional to 97,692.40, 146,538.60 and 71,448.40

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Solution

The fourth proportional to 97,692.40, 146,538.60 and 71,448.40 is: 107,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,692.40 : 146,538.60 = 71,448.40 : x
  2. Step 2: Convert to fraction form
    97,692.40/146,538.60 = 71,448.40/x
  3. Step 3: Cross multiply
    97,692.40x = 146,538.60 × 71,448.40
  4. Step 4: Simplify right side
    97,692.40x = 10,469,948,508.24
  5. Step 5: Solve for x
    x = 10,469,948,508.24/97,692.40
  6. Step 6: Final answer
    x = 107,172.60

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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.