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Finding the Fourth Proportional to 275,754.10, 413,643.30 and 155,809.30

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Solution

The fourth proportional to 275,754.10, 413,643.30 and 155,809.30 is: 233,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,754.10 : 413,643.30 = 155,809.30 : x
  2. Step 2: Convert to fraction form
    275,754.10/413,643.30 = 155,809.30/x
  3. Step 3: Cross multiply
    275,754.10x = 413,643.30 × 155,809.30
  4. Step 4: Simplify right side
    275,754.10x = 64,449,473,022.69
  5. Step 5: Solve for x
    x = 64,449,473,022.69/275,754.10
  6. Step 6: Final answer
    x = 233,720.82

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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.