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Finding the Fourth Proportional to 268,315.54, 401,808.99 and 197,069.22

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Solution

The fourth proportional to 268,315.54, 401,808.99 and 197,069.22 is: 295,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,315.54 : 401,808.99 = 197,069.22 : x
  2. Step 2: Convert to fraction form
    268,315.54/401,808.99 = 197,069.22/x
  3. Step 3: Cross multiply
    268,315.54x = 401,808.99 × 197,069.22
  4. Step 4: Simplify right side
    268,315.54x = 79,184,183,878.78
  5. Step 5: Solve for x
    x = 79,184,183,878.78/268,315.54
  6. Step 6: Final answer
    x = 295,115.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.