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Finding the Fourth Proportional to 137,415.21, 189,638.43 and 76,986.35

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Solution

The fourth proportional to 137,415.21, 189,638.43 and 76,986.35 is: 106,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.21 : 189,638.43 = 76,986.35 : x
  2. Step 2: Convert to fraction form
    137,415.21/189,638.43 = 76,986.35/x
  3. Step 3: Cross multiply
    137,415.21x = 189,638.43 × 76,986.35
  4. Step 4: Simplify right side
    137,415.21x = 14,599,570,545.43
  5. Step 5: Solve for x
    x = 14,599,570,545.43/137,415.21
  6. Step 6: Final answer
    x = 106,244.21

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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.