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Finding the Fourth Proportional to 208,056.20, 312,084.30 and 166,584.20

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Solution

The fourth proportional to 208,056.20, 312,084.30 and 166,584.20 is: 249,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,056.20 : 312,084.30 = 166,584.20 : x
  2. Step 2: Convert to fraction form
    208,056.20/312,084.30 = 166,584.20/x
  3. Step 3: Cross multiply
    208,056.20x = 312,084.30 × 166,584.20
  4. Step 4: Simplify right side
    208,056.20x = 51,988,313,448.06
  5. Step 5: Solve for x
    x = 51,988,313,448.06/208,056.20
  6. Step 6: Final answer
    x = 249,876.30

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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.