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Finding the Fourth Proportional to 208,198.83, 312,300.80 and 73,266.93

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Solution

The fourth proportional to 208,198.83, 312,300.80 and 73,266.93 is: 109,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,198.83 : 312,300.80 = 73,266.93 : x
  2. Step 2: Convert to fraction form
    208,198.83/312,300.80 = 73,266.93/x
  3. Step 3: Cross multiply
    208,198.83x = 312,300.80 × 73,266.93
  4. Step 4: Simplify right side
    208,198.83x = 22,881,320,852.54
  5. Step 5: Solve for x
    x = 22,881,320,852.54/208,198.83
  6. Step 6: Final answer
    x = 109,901.29

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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.