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Finding the Fourth Proportional to 196,481.48, 294,724.24 and 157,287.74

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Solution

The fourth proportional to 196,481.48, 294,724.24 and 157,287.74 is: 235,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,481.48 : 294,724.24 = 157,287.74 : x
  2. Step 2: Convert to fraction form
    196,481.48/294,724.24 = 157,287.74/x
  3. Step 3: Cross multiply
    196,481.48x = 294,724.24 × 157,287.74
  4. Step 4: Simplify right side
    196,481.48x = 46,356,509,632.82
  5. Step 5: Solve for x
    x = 46,356,509,632.82/196,481.48
  6. Step 6: Final answer
    x = 235,933.23

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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.