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Finding the Fourth Proportional to 241,142.72, 361,743.12 and 116,396

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Solution

The fourth proportional to 241,142.72, 361,743.12 and 116,396 is: 174,608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,142.72 : 361,743.12 = 116,396 : x
  2. Step 2: Convert to fraction form
    241,142.72/361,743.12 = 116,396/x
  3. Step 3: Cross multiply
    241,142.72x = 361,743.12 × 116,396
  4. Step 4: Simplify right side
    241,142.72x = 42,105,452,195.52
  5. Step 5: Solve for x
    x = 42,105,452,195.52/241,142.72
  6. Step 6: Final answer
    x = 174,608.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.