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Finding the Fourth Proportional to 194,473.75, 291,759.83 and 54,232.39

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Solution

The fourth proportional to 194,473.75, 291,759.83 and 54,232.39 is: 81,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,473.75 : 291,759.83 = 54,232.39 : x
  2. Step 2: Convert to fraction form
    194,473.75/291,759.83 = 54,232.39/x
  3. Step 3: Cross multiply
    194,473.75x = 291,759.83 × 54,232.39
  4. Step 4: Simplify right side
    194,473.75x = 15,822,832,886.89
  5. Step 5: Solve for x
    x = 15,822,832,886.89/194,473.75
  6. Step 6: Final answer
    x = 81,362.31

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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.