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Finding the Fourth Proportional to 294,058.80, 440,821.44 and 106,938

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Solution

The fourth proportional to 294,058.80, 440,821.44 and 106,938 is: 160,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,058.80 : 440,821.44 = 106,938 : x
  2. Step 2: Convert to fraction form
    294,058.80/440,821.44 = 106,938/x
  3. Step 3: Cross multiply
    294,058.80x = 440,821.44 × 106,938
  4. Step 4: Simplify right side
    294,058.80x = 47,140,563,150.72
  5. Step 5: Solve for x
    x = 47,140,563,150.72/294,058.80
  6. Step 6: Final answer
    x = 160,309.99

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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.