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Finding the Fourth Proportional to 139,441.56, 192,457.32 and 82,842

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Solution

The fourth proportional to 139,441.56, 192,457.32 and 82,842 is: 114,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,441.56 : 192,457.32 = 82,842 : x
  2. Step 2: Convert to fraction form
    139,441.56/192,457.32 = 82,842/x
  3. Step 3: Cross multiply
    139,441.56x = 192,457.32 × 82,842
  4. Step 4: Simplify right side
    139,441.56x = 15,943,549,303.44
  5. Step 5: Solve for x
    x = 15,943,549,303.44/139,441.56
  6. Step 6: Final answer
    x = 114,338.58

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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.