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Finding the Fourth Proportional to 194,408.56, 291,612.84 and 46,664.56

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Solution

The fourth proportional to 194,408.56, 291,612.84 and 46,664.56 is: 69,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,408.56 : 291,612.84 = 46,664.56 : x
  2. Step 2: Convert to fraction form
    194,408.56/291,612.84 = 46,664.56/x
  3. Step 3: Cross multiply
    194,408.56x = 291,612.84 × 46,664.56
  4. Step 4: Simplify right side
    194,408.56x = 13,607,984,868.95
  5. Step 5: Solve for x
    x = 13,607,984,868.95/194,408.56
  6. Step 6: Final answer
    x = 69,996.84

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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.