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Finding the Fourth Proportional to 201,204.30, 301,460.85 and 95,796.30

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Solution

The fourth proportional to 201,204.30, 301,460.85 and 95,796.30 is: 143,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204.30 : 301,460.85 = 95,796.30 : x
  2. Step 2: Convert to fraction form
    201,204.30/301,460.85 = 95,796.30/x
  3. Step 3: Cross multiply
    201,204.30x = 301,460.85 × 95,796.30
  4. Step 4: Simplify right side
    201,204.30x = 28,878,834,024.86
  5. Step 5: Solve for x
    x = 28,878,834,024.86/201,204.30
  6. Step 6: Final answer
    x = 143,529.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.