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Finding the Fourth Proportional to 208,559.60, 312,904.20 and 82,215.80

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Solution

The fourth proportional to 208,559.60, 312,904.20 and 82,215.80 is: 123,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,559.60 : 312,904.20 = 82,215.80 : x
  2. Step 2: Convert to fraction form
    208,559.60/312,904.20 = 82,215.80/x
  3. Step 3: Cross multiply
    208,559.60x = 312,904.20 × 82,215.80
  4. Step 4: Simplify right side
    208,559.60x = 25,725,669,126.36
  5. Step 5: Solve for x
    x = 25,725,669,126.36/208,559.60
  6. Step 6: Final answer
    x = 123,349.24

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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.