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Finding the Fourth Proportional to 200,902.09, 300,633.60 and 173,977.69

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Solution

The fourth proportional to 200,902.09, 300,633.60 and 173,977.69 is: 260,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,902.09 : 300,633.60 = 173,977.69 : x
  2. Step 2: Convert to fraction form
    200,902.09/300,633.60 = 173,977.69/x
  3. Step 3: Cross multiply
    200,902.09x = 300,633.60 × 173,977.69
  4. Step 4: Simplify right side
    200,902.09x = 52,303,539,239.59
  5. Step 5: Solve for x
    x = 52,303,539,239.59/200,902.09
  6. Step 6: Final answer
    x = 260,343.43

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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.