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Finding the Fourth Proportional to 194,483.25, 291,774.11 and 54,241.88

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Solution

The fourth proportional to 194,483.25, 291,774.11 and 54,241.88 is: 81,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,483.25 : 291,774.11 = 54,241.88 : x
  2. Step 2: Convert to fraction form
    194,483.25/291,774.11 = 54,241.88/x
  3. Step 3: Cross multiply
    194,483.25x = 291,774.11 × 54,241.88
  4. Step 4: Simplify right side
    194,483.25x = 15,826,374,531.65
  5. Step 5: Solve for x
    x = 15,826,374,531.65/194,483.25
  6. Step 6: Final answer
    x = 81,376.54

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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.