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Finding the Fourth Proportional to 215,058.96, 296,764.48 and 119,559.84

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Solution

The fourth proportional to 215,058.96, 296,764.48 and 119,559.84 is: 164,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,058.96 : 296,764.48 = 119,559.84 : x
  2. Step 2: Convert to fraction form
    215,058.96/296,764.48 = 119,559.84/x
  3. Step 3: Cross multiply
    215,058.96x = 296,764.48 × 119,559.84
  4. Step 4: Simplify right side
    215,058.96x = 35,481,113,746.48
  5. Step 5: Solve for x
    x = 35,481,113,746.48/215,058.96
  6. Step 6: Final answer
    x = 164,983.19

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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.