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Finding the Fourth Proportional to 193,286.65, 289,437.90 and 184,429.30

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Solution

The fourth proportional to 193,286.65, 289,437.90 and 184,429.30 is: 276,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,286.65 : 289,437.90 = 184,429.30 : x
  2. Step 2: Convert to fraction form
    193,286.65/289,437.90 = 184,429.30/x
  3. Step 3: Cross multiply
    193,286.65x = 289,437.90 × 184,429.30
  4. Step 4: Simplify right side
    193,286.65x = 53,380,829,290.47
  5. Step 5: Solve for x
    x = 53,380,829,290.47/193,286.65
  6. Step 6: Final answer
    x = 276,174.42

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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.