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Finding the Fourth Proportional to 201,584.26, 302,420.12 and 61,339.24

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Solution

The fourth proportional to 201,584.26, 302,420.12 and 61,339.24 is: 92,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,584.26 : 302,420.12 = 61,339.24 : x
  2. Step 2: Convert to fraction form
    201,584.26/302,420.12 = 61,339.24/x
  3. Step 3: Cross multiply
    201,584.26x = 302,420.12 × 61,339.24
  4. Step 4: Simplify right side
    201,584.26x = 18,550,220,321.51
  5. Step 5: Solve for x
    x = 18,550,220,321.51/201,584.26
  6. Step 6: Final answer
    x = 92,022.17

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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.