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Finding the Fourth Proportional to 201,369.30, 301,708.35 and 95,961.30

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Solution

The fourth proportional to 201,369.30, 301,708.35 and 95,961.30 is: 143,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,369.30 : 301,708.35 = 95,961.30 : x
  2. Step 2: Convert to fraction form
    201,369.30/301,708.35 = 95,961.30/x
  3. Step 3: Cross multiply
    201,369.30x = 301,708.35 × 95,961.30
  4. Step 4: Simplify right side
    201,369.30x = 28,952,325,486.86
  5. Step 5: Solve for x
    x = 28,952,325,486.86/201,369.30
  6. Step 6: Final answer
    x = 143,777.26

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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.