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Finding the Fourth Proportional to 232,245.40, 348,692.10 and 148,523.80

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Solution

The fourth proportional to 232,245.40, 348,692.10 and 148,523.80 is: 222,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,245.40 : 348,692.10 = 148,523.80 : x
  2. Step 2: Convert to fraction form
    232,245.40/348,692.10 = 148,523.80/x
  3. Step 3: Cross multiply
    232,245.40x = 348,692.10 × 148,523.80
  4. Step 4: Simplify right side
    232,245.40x = 51,789,075,721.98
  5. Step 5: Solve for x
    x = 51,789,075,721.98/232,245.40
  6. Step 6: Final answer
    x = 222,992.90

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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.