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Finding the Fourth Proportional to 192,074.22, 287,914.50 and 73,713.78

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Solution

The fourth proportional to 192,074.22, 287,914.50 and 73,713.78 is: 110,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,074.22 : 287,914.50 = 73,713.78 : x
  2. Step 2: Convert to fraction form
    192,074.22/287,914.50 = 73,713.78/x
  3. Step 3: Cross multiply
    192,074.22x = 287,914.50 × 73,713.78
  4. Step 4: Simplify right side
    192,074.22x = 21,223,266,111.81
  5. Step 5: Solve for x
    x = 21,223,266,111.81/192,074.22
  6. Step 6: Final answer
    x = 110,495.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.