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Finding the Fourth Proportional to 98,194.50, 135,511.29 and 53,485.38

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Solution

The fourth proportional to 98,194.50, 135,511.29 and 53,485.38 is: 73,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,194.50 : 135,511.29 = 53,485.38 : x
  2. Step 2: Convert to fraction form
    98,194.50/135,511.29 = 53,485.38/x
  3. Step 3: Cross multiply
    98,194.50x = 135,511.29 × 53,485.38
  4. Step 4: Simplify right side
    98,194.50x = 7,247,872,839.94
  5. Step 5: Solve for x
    x = 7,247,872,839.94/98,194.50
  6. Step 6: Final answer
    x = 73,811.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.