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Finding the Fourth Proportional to 215,058.42, 296,763.81 and 119,559.30

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Solution

The fourth proportional to 215,058.42, 296,763.81 and 119,559.30 is: 164,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,058.42 : 296,763.81 = 119,559.30 : x
  2. Step 2: Convert to fraction form
    215,058.42/296,763.81 = 119,559.30/x
  3. Step 3: Cross multiply
    215,058.42x = 296,763.81 × 119,559.30
  4. Step 4: Simplify right side
    215,058.42x = 35,480,873,388.93
  5. Step 5: Solve for x
    x = 35,480,873,388.93/215,058.42
  6. Step 6: Final answer
    x = 164,982.49

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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.