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Finding the Fourth Proportional to 196,238.58, 270,293.40 and 150,829.71

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Solution

The fourth proportional to 196,238.58, 270,293.40 and 150,829.71 is: 207,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,238.58 : 270,293.40 = 150,829.71 : x
  2. Step 2: Convert to fraction form
    196,238.58/270,293.40 = 150,829.71/x
  3. Step 3: Cross multiply
    196,238.58x = 270,293.40 × 150,829.71
  4. Step 4: Simplify right side
    196,238.58x = 40,768,275,136.91
  5. Step 5: Solve for x
    x = 40,768,275,136.91/196,238.58
  6. Step 6: Final answer
    x = 207,748.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.