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Finding the Fourth Proportional to 275,661.30, 413,384.88 and 107,159.33

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Solution

The fourth proportional to 275,661.30, 413,384.88 and 107,159.33 is: 160,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,661.30 : 413,384.88 = 107,159.33 : x
  2. Step 2: Convert to fraction form
    275,661.30/413,384.88 = 107,159.33/x
  3. Step 3: Cross multiply
    275,661.30x = 413,384.88 × 107,159.33
  4. Step 4: Simplify right side
    275,661.30x = 44,298,046,772.93
  5. Step 5: Solve for x
    x = 44,298,046,772.93/275,661.30
  6. Step 6: Final answer
    x = 160,697.37

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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.