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Finding the Fourth Proportional to 97,913.25, 135,121.10 and 53,201.25

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Solution

The fourth proportional to 97,913.25, 135,121.10 and 53,201.25 is: 73,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,913.25 : 135,121.10 = 53,201.25 : x
  2. Step 2: Convert to fraction form
    97,913.25/135,121.10 = 53,201.25/x
  3. Step 3: Cross multiply
    97,913.25x = 135,121.10 × 53,201.25
  4. Step 4: Simplify right side
    97,913.25x = 7,188,611,155.37
  5. Step 5: Solve for x
    x = 7,188,611,155.37/97,913.25
  6. Step 6: Final answer
    x = 73,418.17

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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.