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Finding the Fourth Proportional to 137,120.19, 189,224.77 and 76,690.78

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Solution

The fourth proportional to 137,120.19, 189,224.77 and 76,690.78 is: 105,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,120.19 : 189,224.77 = 76,690.78 : x
  2. Step 2: Convert to fraction form
    137,120.19/189,224.77 = 76,690.78/x
  3. Step 3: Cross multiply
    137,120.19x = 189,224.77 × 76,690.78
  4. Step 4: Simplify right side
    137,120.19x = 14,511,795,642.17
  5. Step 5: Solve for x
    x = 14,511,795,642.17/137,120.19
  6. Step 6: Final answer
    x = 105,832.67

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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.