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Finding the Fourth Proportional to 201,009.80, 301,077.30 and 174,765.80

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Solution

The fourth proportional to 201,009.80, 301,077.30 and 174,765.80 is: 261,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,009.80 : 301,077.30 = 174,765.80 : x
  2. Step 2: Convert to fraction form
    201,009.80/301,077.30 = 174,765.80/x
  3. Step 3: Cross multiply
    201,009.80x = 301,077.30 × 174,765.80
  4. Step 4: Simplify right side
    201,009.80x = 52,618,015,196.34
  5. Step 5: Solve for x
    x = 52,618,015,196.34/201,009.80
  6. Step 6: Final answer
    x = 261,768.41

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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.