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Finding the Fourth Proportional to 206,706.60, 309,275.70 and 122,511.96

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Solution

The fourth proportional to 206,706.60, 309,275.70 and 122,511.96 is: 183,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,706.60 : 309,275.70 = 122,511.96 : x
  2. Step 2: Convert to fraction form
    206,706.60/309,275.70 = 122,511.96/x
  3. Step 3: Cross multiply
    206,706.60x = 309,275.70 × 122,511.96
  4. Step 4: Simplify right side
    206,706.60x = 37,889,972,187.37
  5. Step 5: Solve for x
    x = 37,889,972,187.37/206,706.60
  6. Step 6: Final answer
    x = 183,303.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.