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Finding the Fourth Proportional to 192,816, 266,071.50 and 106,774.56

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Solution

The fourth proportional to 192,816, 266,071.50 and 106,774.56 is: 147,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,816 : 266,071.50 = 106,774.56 : x
  2. Step 2: Convert to fraction form
    192,816/266,071.50 = 106,774.56/x
  3. Step 3: Cross multiply
    192,816x = 266,071.50 × 106,774.56
  4. Step 4: Simplify right side
    192,816x = 28,409,667,341.04
  5. Step 5: Solve for x
    x = 28,409,667,341.04/192,816
  6. Step 6: Final answer
    x = 147,340.82

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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.