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Finding the Fourth Proportional to 192,097.28, 287,948.88 and 73,736.72

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Solution

The fourth proportional to 192,097.28, 287,948.88 and 73,736.72 is: 110,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,097.28 : 287,948.88 = 73,736.72 : x
  2. Step 2: Convert to fraction form
    192,097.28/287,948.88 = 73,736.72/x
  3. Step 3: Cross multiply
    192,097.28x = 287,948.88 × 73,736.72
  4. Step 4: Simplify right side
    192,097.28x = 21,232,405,938.87
  5. Step 5: Solve for x
    x = 21,232,405,938.87/192,097.28
  6. Step 6: Final answer
    x = 110,529.45

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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.