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Finding the Fourth Proportional to 194,165.67, 291,281.72 and 88,993.65

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Solution

The fourth proportional to 194,165.67, 291,281.72 and 88,993.65 is: 133,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,165.67 : 291,281.72 = 88,993.65 : x
  2. Step 2: Convert to fraction form
    194,165.67/291,281.72 = 88,993.65/x
  3. Step 3: Cross multiply
    194,165.67x = 291,281.72 × 88,993.65
  4. Step 4: Simplify right side
    194,165.67x = 25,922,222,996.11
  5. Step 5: Solve for x
    x = 25,922,222,996.11/194,165.67
  6. Step 6: Final answer
    x = 133,505.70

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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.