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Finding the Fourth Proportional to 275,574.79, 413,255.91 and 107,072.94

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Solution

The fourth proportional to 275,574.79, 413,255.91 and 107,072.94 is: 160,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,574.79 : 413,255.91 = 107,072.94 : x
  2. Step 2: Convert to fraction form
    275,574.79/413,255.91 = 107,072.94/x
  3. Step 3: Cross multiply
    275,574.79x = 413,255.91 × 107,072.94
  4. Step 4: Simplify right side
    275,574.79x = 44,248,524,280.46
  5. Step 5: Solve for x
    x = 44,248,524,280.46/275,574.79
  6. Step 6: Final answer
    x = 160,568.11

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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.