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Finding the Fourth Proportional to 136,401.84, 188,244 and 82,689.12

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Solution

The fourth proportional to 136,401.84, 188,244 and 82,689.12 is: 114,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,401.84 : 188,244 = 82,689.12 : x
  2. Step 2: Convert to fraction form
    136,401.84/188,244 = 82,689.12/x
  3. Step 3: Cross multiply
    136,401.84x = 188,244 × 82,689.12
  4. Step 4: Simplify right side
    136,401.84x = 15,565,730,705.28
  5. Step 5: Solve for x
    x = 15,565,730,705.28/136,401.84
  6. Step 6: Final answer
    x = 114,116.72

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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.