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Finding the Fourth Proportional to 192,715.59, 265,940.84 and 106,678.32

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Solution

The fourth proportional to 192,715.59, 265,940.84 and 106,678.32 is: 147,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,715.59 : 265,940.84 = 106,678.32 : x
  2. Step 2: Convert to fraction form
    192,715.59/265,940.84 = 106,678.32/x
  3. Step 3: Cross multiply
    192,715.59x = 265,940.84 × 106,678.32
  4. Step 4: Simplify right side
    192,715.59x = 28,370,122,428.75
  5. Step 5: Solve for x
    x = 28,370,122,428.75/192,715.59
  6. Step 6: Final answer
    x = 147,212.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.