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Finding the Fourth Proportional to 201,496.69, 301,995.91 and 101,685.44

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Solution

The fourth proportional to 201,496.69, 301,995.91 and 101,685.44 is: 152,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,496.69 : 301,995.91 = 101,685.44 : x
  2. Step 2: Convert to fraction form
    201,496.69/301,995.91 = 101,685.44/x
  3. Step 3: Cross multiply
    201,496.69x = 301,995.91 × 101,685.44
  4. Step 4: Simplify right side
    201,496.69x = 30,708,586,986.55
  5. Step 5: Solve for x
    x = 30,708,586,986.55/201,496.69
  6. Step 6: Final answer
    x = 152,402.44

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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.