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Finding the Fourth Proportional to 147,121.85, 203,022 and 83,471.64

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Solution

The fourth proportional to 147,121.85, 203,022 and 83,471.64 is: 115,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,121.85 : 203,022 = 83,471.64 : x
  2. Step 2: Convert to fraction form
    147,121.85/203,022 = 83,471.64/x
  3. Step 3: Cross multiply
    147,121.85x = 203,022 × 83,471.64
  4. Step 4: Simplify right side
    147,121.85x = 16,946,579,296.08
  5. Step 5: Solve for x
    x = 16,946,579,296.08/147,121.85
  6. Step 6: Final answer
    x = 115,187.38

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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.