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Finding the Fourth Proportional to 275,809.66, 413,718.65 and 105,040.83

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Solution

The fourth proportional to 275,809.66, 413,718.65 and 105,040.83 is: 157,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,809.66 : 413,718.65 = 105,040.83 : x
  2. Step 2: Convert to fraction form
    275,809.66/413,718.65 = 105,040.83/x
  3. Step 3: Cross multiply
    275,809.66x = 413,718.65 × 105,040.83
  4. Step 4: Simplify right side
    275,809.66x = 43,457,348,604.28
  5. Step 5: Solve for x
    x = 43,457,348,604.28/275,809.66
  6. Step 6: Final answer
    x = 157,562.82

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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.