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Finding the Fourth Proportional to 134,806, 202,213.86 and 50,557.60

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Solution

The fourth proportional to 134,806, 202,213.86 and 50,557.60 is: 75,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,806 : 202,213.86 = 50,557.60 : x
  2. Step 2: Convert to fraction form
    134,806/202,213.86 = 50,557.60/x
  3. Step 3: Cross multiply
    134,806x = 202,213.86 × 50,557.60
  4. Step 4: Simplify right side
    134,806x = 10,223,447,448.34
  5. Step 5: Solve for x
    x = 10,223,447,448.34/134,806
  6. Step 6: Final answer
    x = 75,838.22

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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.