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Finding the Fourth Proportional to 97,940.24, 135,186.40 and 63,954

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Solution

The fourth proportional to 97,940.24, 135,186.40 and 63,954 is: 88,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,940.24 : 135,186.40 = 63,954 : x
  2. Step 2: Convert to fraction form
    97,940.24/135,186.40 = 63,954/x
  3. Step 3: Cross multiply
    97,940.24x = 135,186.40 × 63,954
  4. Step 4: Simplify right side
    97,940.24x = 8,645,711,025.60
  5. Step 5: Solve for x
    x = 8,645,711,025.60/97,940.24
  6. Step 6: Final answer
    x = 88,275.38

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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.