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Finding the Fourth Proportional to 139,482.12, 192,470.94 and 82,882.56

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Solution

The fourth proportional to 139,482.12, 192,470.94 and 82,882.56 is: 114,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,482.12 : 192,470.94 = 82,882.56 : x
  2. Step 2: Convert to fraction form
    139,482.12/192,470.94 = 82,882.56/x
  3. Step 3: Cross multiply
    139,482.12x = 192,470.94 × 82,882.56
  4. Step 4: Simplify right side
    139,482.12x = 15,952,484,232.81
  5. Step 5: Solve for x
    x = 15,952,484,232.81/139,482.12
  6. Step 6: Final answer
    x = 114,369.38

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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.