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Finding the Fourth Proportional to 193,823.40, 290,519.10 and 75,455.40

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Solution

The fourth proportional to 193,823.40, 290,519.10 and 75,455.40 is: 113,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,823.40 : 290,519.10 = 75,455.40 : x
  2. Step 2: Convert to fraction form
    193,823.40/290,519.10 = 75,455.40/x
  3. Step 3: Cross multiply
    193,823.40x = 290,519.10 × 75,455.40
  4. Step 4: Simplify right side
    193,823.40x = 21,921,234,898.14
  5. Step 5: Solve for x
    x = 21,921,234,898.14/193,823.40
  6. Step 6: Final answer
    x = 113,099.01

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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.