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Finding the Fourth Proportional to 275,895.65, 413,674.11 and 107,219.02

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Solution

The fourth proportional to 275,895.65, 413,674.11 and 107,219.02 is: 160,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,895.65 : 413,674.11 = 107,219.02 : x
  2. Step 2: Convert to fraction form
    275,895.65/413,674.11 = 107,219.02/x
  3. Step 3: Cross multiply
    275,895.65x = 413,674.11 × 107,219.02
  4. Step 4: Simplify right side
    275,895.65x = 44,353,732,673.57
  5. Step 5: Solve for x
    x = 44,353,732,673.57/275,895.65
  6. Step 6: Final answer
    x = 160,762.71

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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.