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Finding the Fourth Proportional to 194,798.05, 291,975.60 and 82,408.12

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Solution

The fourth proportional to 194,798.05, 291,975.60 and 82,408.12 is: 123,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,798.05 : 291,975.60 = 82,408.12 : x
  2. Step 2: Convert to fraction form
    194,798.05/291,975.60 = 82,408.12/x
  3. Step 3: Cross multiply
    194,798.05x = 291,975.60 × 82,408.12
  4. Step 4: Simplify right side
    194,798.05x = 24,061,160,281.87
  5. Step 5: Solve for x
    x = 24,061,160,281.87/194,798.05
  6. Step 6: Final answer
    x = 123,518.49

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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.