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Finding the Fourth Proportional to 194,273.42, 291,206 and 89,005.82

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Solution

The fourth proportional to 194,273.42, 291,206 and 89,005.82 is: 133,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,273.42 : 291,206 = 89,005.82 : x
  2. Step 2: Convert to fraction form
    194,273.42/291,206 = 89,005.82/x
  3. Step 3: Cross multiply
    194,273.42x = 291,206 × 89,005.82
  4. Step 4: Simplify right side
    194,273.42x = 25,919,028,818.92
  5. Step 5: Solve for x
    x = 25,919,028,818.92/194,273.42
  6. Step 6: Final answer
    x = 133,415.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.