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Finding the Fourth Proportional to 194,461.60, 291,692.40 and 182,651.80

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Solution

The fourth proportional to 194,461.60, 291,692.40 and 182,651.80 is: 273,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,461.60 : 291,692.40 = 182,651.80 : x
  2. Step 2: Convert to fraction form
    194,461.60/291,692.40 = 182,651.80/x
  3. Step 3: Cross multiply
    194,461.60x = 291,692.40 × 182,651.80
  4. Step 4: Simplify right side
    194,461.60x = 53,278,141,906.32
  5. Step 5: Solve for x
    x = 53,278,141,906.32/194,461.60
  6. Step 6: Final answer
    x = 273,977.70

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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.