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Finding the Fourth Proportional to 83,197, 114,771.72 and 54,504.19

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Solution

The fourth proportional to 83,197, 114,771.72 and 54,504.19 is: 75,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,197 : 114,771.72 = 54,504.19 : x
  2. Step 2: Convert to fraction form
    83,197/114,771.72 = 54,504.19/x
  3. Step 3: Cross multiply
    83,197x = 114,771.72 × 54,504.19
  4. Step 4: Simplify right side
    83,197x = 6,255,539,633.51
  5. Step 5: Solve for x
    x = 6,255,539,633.51/83,197
  6. Step 6: Final answer
    x = 75,189.49

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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.