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Finding the Fourth Proportional to 264,688.86, 396,810.09 and 114,816.30

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Solution

The fourth proportional to 264,688.86, 396,810.09 and 114,816.30 is: 172,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,688.86 : 396,810.09 = 114,816.30 : x
  2. Step 2: Convert to fraction form
    264,688.86/396,810.09 = 114,816.30/x
  3. Step 3: Cross multiply
    264,688.86x = 396,810.09 × 114,816.30
  4. Step 4: Simplify right side
    264,688.86x = 45,560,266,336.47
  5. Step 5: Solve for x
    x = 45,560,266,336.47/264,688.86
  6. Step 6: Final answer
    x = 172,127.63

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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.