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Finding the Fourth Proportional to 200,908.44, 301,528.44 and 101,097

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Solution

The fourth proportional to 200,908.44, 301,528.44 and 101,097 is: 151,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908.44 : 301,528.44 = 101,097 : x
  2. Step 2: Convert to fraction form
    200,908.44/301,528.44 = 101,097/x
  3. Step 3: Cross multiply
    200,908.44x = 301,528.44 × 101,097
  4. Step 4: Simplify right side
    200,908.44x = 30,483,620,698.68
  5. Step 5: Solve for x
    x = 30,483,620,698.68/200,908.44
  6. Step 6: Final answer
    x = 151,728.92

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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.