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Finding the Fourth Proportional to 193,453.21, 290,247.51 and 75,207.52

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Solution

The fourth proportional to 193,453.21, 290,247.51 and 75,207.52 is: 112,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,453.21 : 290,247.51 = 75,207.52 : x
  2. Step 2: Convert to fraction form
    193,453.21/290,247.51 = 75,207.52/x
  3. Step 3: Cross multiply
    193,453.21x = 290,247.51 × 75,207.52
  4. Step 4: Simplify right side
    193,453.21x = 21,828,793,962.04
  5. Step 5: Solve for x
    x = 21,828,793,962.04/193,453.21
  6. Step 6: Final answer
    x = 112,837.59

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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.