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Finding the Fourth Proportional to 194,222.64, 291,191.40 and 81,898.32

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Solution

The fourth proportional to 194,222.64, 291,191.40 and 81,898.32 is: 122,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,222.64 : 291,191.40 = 81,898.32 : x
  2. Step 2: Convert to fraction form
    194,222.64/291,191.40 = 81,898.32/x
  3. Step 3: Cross multiply
    194,222.64x = 291,191.40 × 81,898.32
  4. Step 4: Simplify right side
    194,222.64x = 23,848,086,458.45
  5. Step 5: Solve for x
    x = 23,848,086,458.45/194,222.64
  6. Step 6: Final answer
    x = 122,787.37

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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.