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Finding the Fourth Proportional to 203,611.42, 280,974.24 and 112,966.42

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Solution

The fourth proportional to 203,611.42, 280,974.24 and 112,966.42 is: 155,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,611.42 : 280,974.24 = 112,966.42 : x
  2. Step 2: Convert to fraction form
    203,611.42/280,974.24 = 112,966.42/x
  3. Step 3: Cross multiply
    203,611.42x = 280,974.24 × 112,966.42
  4. Step 4: Simplify right side
    203,611.42x = 31,740,654,005.02
  5. Step 5: Solve for x
    x = 31,740,654,005.02/203,611.42
  6. Step 6: Final answer
    x = 155,888.38

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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.