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Finding the Fourth Proportional to 268,016.89, 401,161.45 and 147,884.98

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Solution

The fourth proportional to 268,016.89, 401,161.45 and 147,884.98 is: 221,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,016.89 : 401,161.45 = 147,884.98 : x
  2. Step 2: Convert to fraction form
    268,016.89/401,161.45 = 147,884.98/x
  3. Step 3: Cross multiply
    268,016.89x = 401,161.45 × 147,884.98
  4. Step 4: Simplify right side
    268,016.89x = 59,325,750,264.79
  5. Step 5: Solve for x
    x = 59,325,750,264.79/268,016.89
  6. Step 6: Final answer
    x = 221,350.79

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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.