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Finding the Fourth Proportional to 275,322.52, 413,134.20 and 106,849.48

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Solution

The fourth proportional to 275,322.52, 413,134.20 and 106,849.48 is: 160,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,322.52 : 413,134.20 = 106,849.48 : x
  2. Step 2: Convert to fraction form
    275,322.52/413,134.20 = 106,849.48/x
  3. Step 3: Cross multiply
    275,322.52x = 413,134.20 × 106,849.48
  4. Step 4: Simplify right side
    275,322.52x = 44,143,174,440.22
  5. Step 5: Solve for x
    x = 44,143,174,440.22/275,322.52
  6. Step 6: Final answer
    x = 160,332.60

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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.