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Finding the Fourth Proportional to 275,615.69, 413,262.59 and 106,939.01

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Solution

The fourth proportional to 275,615.69, 413,262.59 and 106,939.01 is: 160,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,615.69 : 413,262.59 = 106,939.01 : x
  2. Step 2: Convert to fraction form
    275,615.69/413,262.59 = 106,939.01/x
  3. Step 3: Cross multiply
    275,615.69x = 413,262.59 × 106,939.01
  4. Step 4: Simplify right side
    275,615.69x = 44,193,889,643.63
  5. Step 5: Solve for x
    x = 44,193,889,643.63/275,615.69
  6. Step 6: Final answer
    x = 160,346.06

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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.