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Finding the Fourth Proportional to 193,518.72, 290,390.16 and 81,189

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Solution

The fourth proportional to 193,518.72, 290,390.16 and 81,189 is: 121,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,518.72 : 290,390.16 = 81,189 : x
  2. Step 2: Convert to fraction form
    193,518.72/290,390.16 = 81,189/x
  3. Step 3: Cross multiply
    193,518.72x = 290,390.16 × 81,189
  4. Step 4: Simplify right side
    193,518.72x = 23,576,486,700.24
  5. Step 5: Solve for x
    x = 23,576,486,700.24/193,518.72
  6. Step 6: Final answer
    x = 121,830.52

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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.