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Finding the Fourth Proportional to 194,633.60, 291,604.80 and 120,675.20

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Solution

The fourth proportional to 194,633.60, 291,604.80 and 120,675.20 is: 180,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,633.60 : 291,604.80 = 120,675.20 : x
  2. Step 2: Convert to fraction form
    194,633.60/291,604.80 = 120,675.20/x
  3. Step 3: Cross multiply
    194,633.60x = 291,604.80 × 120,675.20
  4. Step 4: Simplify right side
    194,633.60x = 35,189,467,560.96
  5. Step 5: Solve for x
    x = 35,189,467,560.96/194,633.60
  6. Step 6: Final answer
    x = 180,798.52

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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.