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Finding the Fourth Proportional to 199,902.88, 299,611.80 and 146,820.12

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Solution

The fourth proportional to 199,902.88, 299,611.80 and 146,820.12 is: 220,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,902.88 : 299,611.80 = 146,820.12 : x
  2. Step 2: Convert to fraction form
    199,902.88/299,611.80 = 146,820.12/x
  3. Step 3: Cross multiply
    199,902.88x = 299,611.80 × 146,820.12
  4. Step 4: Simplify right side
    199,902.88x = 43,989,040,429.42
  5. Step 5: Solve for x
    x = 43,989,040,429.42/199,902.88
  6. Step 6: Final answer
    x = 220,052.06

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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.