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Finding the Fourth Proportional to 208,672.02, 312,797.73 and 82,263.35

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Solution

The fourth proportional to 208,672.02, 312,797.73 and 82,263.35 is: 123,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,672.02 : 312,797.73 = 82,263.35 : x
  2. Step 2: Convert to fraction form
    208,672.02/312,797.73 = 82,263.35/x
  3. Step 3: Cross multiply
    208,672.02x = 312,797.73 × 82,263.35
  4. Step 4: Simplify right side
    208,672.02x = 25,731,789,142.20
  5. Step 5: Solve for x
    x = 25,731,789,142.20/208,672.02
  6. Step 6: Final answer
    x = 123,312.12

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Why These Related Problems?

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