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Finding the Fourth Proportional to 149,058.72, 205,720.91 and 84,551.31

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Solution

The fourth proportional to 149,058.72, 205,720.91 and 84,551.31 is: 116,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,058.72 : 205,720.91 = 84,551.31 : x
  2. Step 2: Convert to fraction form
    149,058.72/205,720.91 = 84,551.31/x
  3. Step 3: Cross multiply
    149,058.72x = 205,720.91 × 84,551.31
  4. Step 4: Simplify right side
    149,058.72x = 17,393,972,012.14
  5. Step 5: Solve for x
    x = 17,393,972,012.14/149,058.72
  6. Step 6: Final answer
    x = 116,692.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.