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Finding the Fourth Proportional to 215,834.54, 297,855.36 and 119,049.51

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Solution

The fourth proportional to 215,834.54, 297,855.36 and 119,049.51 is: 164,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,834.54 : 297,855.36 = 119,049.51 : x
  2. Step 2: Convert to fraction form
    215,834.54/297,855.36 = 119,049.51/x
  3. Step 3: Cross multiply
    215,834.54x = 297,855.36 × 119,049.51
  4. Step 4: Simplify right side
    215,834.54x = 35,459,534,658.87
  5. Step 5: Solve for x
    x = 35,459,534,658.87/215,834.54
  6. Step 6: Final answer
    x = 164,290.37

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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.