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Finding the Fourth Proportional to 194,408.31, 291,612.47 and 46,664.31

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Solution

The fourth proportional to 194,408.31, 291,612.47 and 46,664.31 is: 69,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,408.31 : 291,612.47 = 46,664.31 : x
  2. Step 2: Convert to fraction form
    194,408.31/291,612.47 = 46,664.31/x
  3. Step 3: Cross multiply
    194,408.31x = 291,612.47 × 46,664.31
  4. Step 4: Simplify right side
    194,408.31x = 13,607,894,699.95
  5. Step 5: Solve for x
    x = 13,607,894,699.95/194,408.31
  6. Step 6: Final answer
    x = 69,996.47

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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.