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Finding the Fourth Proportional to 264,655.46, 396,760.01 and 114,782.87

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Solution

The fourth proportional to 264,655.46, 396,760.01 and 114,782.87 is: 172,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,655.46 : 396,760.01 = 114,782.87 : x
  2. Step 2: Convert to fraction form
    264,655.46/396,760.01 = 114,782.87/x
  3. Step 3: Cross multiply
    264,655.46x = 396,760.01 × 114,782.87
  4. Step 4: Simplify right side
    264,655.46x = 45,541,252,048.17
  5. Step 5: Solve for x
    x = 45,541,252,048.17/264,655.46
  6. Step 6: Final answer
    x = 172,077.51

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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.