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Finding the Fourth Proportional to 193,586.52, 290,431.56 and 175,079.64

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Solution

The fourth proportional to 193,586.52, 290,431.56 and 175,079.64 is: 262,666.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,586.52 : 290,431.56 = 175,079.64 : x
  2. Step 2: Convert to fraction form
    193,586.52/290,431.56 = 175,079.64/x
  3. Step 3: Cross multiply
    193,586.52x = 290,431.56 × 175,079.64
  4. Step 4: Simplify right side
    193,586.52x = 50,848,652,969.44
  5. Step 5: Solve for x
    x = 50,848,652,969.44/193,586.52
  6. Step 6: Final answer
    x = 262,666.29

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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.