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Finding the Fourth Proportional to 201,323.10, 302,021.10 and 101,231.40

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Solution

The fourth proportional to 201,323.10, 302,021.10 and 101,231.40 is: 151,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,323.10 : 302,021.10 = 101,231.40 : x
  2. Step 2: Convert to fraction form
    201,323.10/302,021.10 = 101,231.40/x
  3. Step 3: Cross multiply
    201,323.10x = 302,021.10 × 101,231.40
  4. Step 4: Simplify right side
    201,323.10x = 30,574,018,782.54
  5. Step 5: Solve for x
    x = 30,574,018,782.54/201,323.10
  6. Step 6: Final answer
    x = 151,865.43

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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.