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Finding the Fourth Proportional to 202,274.56, 303,312 and 61,999.36

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Solution

The fourth proportional to 202,274.56, 303,312 and 61,999.36 is: 92,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,274.56 : 303,312 = 61,999.36 : x
  2. Step 2: Convert to fraction form
    202,274.56/303,312 = 61,999.36/x
  3. Step 3: Cross multiply
    202,274.56x = 303,312 × 61,999.36
  4. Step 4: Simplify right side
    202,274.56x = 18,805,149,880.32
  5. Step 5: Solve for x
    x = 18,805,149,880.32/202,274.56
  6. Step 6: Final answer
    x = 92,968.44

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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.