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Finding the Fourth Proportional to 200,975.58, 301,069.26 and 116,558.45

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Solution

The fourth proportional to 200,975.58, 301,069.26 and 116,558.45 is: 174,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,975.58 : 301,069.26 = 116,558.45 : x
  2. Step 2: Convert to fraction form
    200,975.58/301,069.26 = 116,558.45/x
  3. Step 3: Cross multiply
    200,975.58x = 301,069.26 × 116,558.45
  4. Step 4: Simplify right side
    200,975.58x = 35,092,166,288.25
  5. Step 5: Solve for x
    x = 35,092,166,288.25/200,975.58
  6. Step 6: Final answer
    x = 174,609.11

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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.