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Finding the Fourth Proportional to 227,115.92, 340,975.32 and 194,048.48

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Solution

The fourth proportional to 227,115.92, 340,975.32 and 194,048.48 is: 291,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,115.92 : 340,975.32 = 194,048.48 : x
  2. Step 2: Convert to fraction form
    227,115.92/340,975.32 = 194,048.48/x
  3. Step 3: Cross multiply
    227,115.92x = 340,975.32 × 194,048.48
  4. Step 4: Simplify right side
    227,115.92x = 66,165,742,563.51
  5. Step 5: Solve for x
    x = 66,165,742,563.51/227,115.92
  6. Step 6: Final answer
    x = 291,330.27

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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.