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Finding the Fourth Proportional to 286,188.30, 394,920.10 and 158,853.88

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Solution

The fourth proportional to 286,188.30, 394,920.10 and 158,853.88 is: 219,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,188.30 : 394,920.10 = 158,853.88 : x
  2. Step 2: Convert to fraction form
    286,188.30/394,920.10 = 158,853.88/x
  3. Step 3: Cross multiply
    286,188.30x = 394,920.10 × 158,853.88
  4. Step 4: Simplify right side
    286,188.30x = 62,734,590,174.99
  5. Step 5: Solve for x
    x = 62,734,590,174.99/286,188.30
  6. Step 6: Final answer
    x = 219,207.39

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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.