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Finding the Fourth Proportional to 149,893.53, 224,843.33 and 61,085.53

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Solution

The fourth proportional to 149,893.53, 224,843.33 and 61,085.53 is: 91,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,893.53 : 224,843.33 = 61,085.53 : x
  2. Step 2: Convert to fraction form
    149,893.53/224,843.33 = 61,085.53/x
  3. Step 3: Cross multiply
    149,893.53x = 224,843.33 × 61,085.53
  4. Step 4: Simplify right side
    149,893.53x = 13,734,673,980.01
  5. Step 5: Solve for x
    x = 13,734,673,980.01/149,893.53
  6. Step 6: Final answer
    x = 91,629.53

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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.