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Finding the Fourth Proportional to 194,235.60, 291,234.60 and 75,770.40

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Solution

The fourth proportional to 194,235.60, 291,234.60 and 75,770.40 is: 113,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,235.60 : 291,234.60 = 75,770.40 : x
  2. Step 2: Convert to fraction form
    194,235.60/291,234.60 = 75,770.40/x
  3. Step 3: Cross multiply
    194,235.60x = 291,234.60 × 75,770.40
  4. Step 4: Simplify right side
    194,235.60x = 22,066,962,135.84
  5. Step 5: Solve for x
    x = 22,066,962,135.84/194,235.60
  6. Step 6: Final answer
    x = 113,609.26

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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.