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Finding the Fourth Proportional to 219,195, 302,489.10 and 118,593

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Solution

The fourth proportional to 219,195, 302,489.10 and 118,593 is: 163,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,195 : 302,489.10 = 118,593 : x
  2. Step 2: Convert to fraction form
    219,195/302,489.10 = 118,593/x
  3. Step 3: Cross multiply
    219,195x = 302,489.10 × 118,593
  4. Step 4: Simplify right side
    219,195x = 35,873,089,836.30
  5. Step 5: Solve for x
    x = 35,873,089,836.30/219,195
  6. Step 6: Final answer
    x = 163,658.34

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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.