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Finding the Fourth Proportional to 263,911.44, 364,246.50 and 150,734.16

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Solution

The fourth proportional to 263,911.44, 364,246.50 and 150,734.16 is: 208,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,911.44 : 364,246.50 = 150,734.16 : x
  2. Step 2: Convert to fraction form
    263,911.44/364,246.50 = 150,734.16/x
  3. Step 3: Cross multiply
    263,911.44x = 364,246.50 × 150,734.16
  4. Step 4: Simplify right side
    263,911.44x = 54,904,390,210.44
  5. Step 5: Solve for x
    x = 54,904,390,210.44/263,911.44
  6. Step 6: Final answer
    x = 208,040.96

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Why These Related Problems?

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