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Finding the Fourth Proportional to 201,610.20, 302,415.30 and 164,285.40

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Solution

The fourth proportional to 201,610.20, 302,415.30 and 164,285.40 is: 246,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,610.20 : 302,415.30 = 164,285.40 : x
  2. Step 2: Convert to fraction form
    201,610.20/302,415.30 = 164,285.40/x
  3. Step 3: Cross multiply
    201,610.20x = 302,415.30 × 164,285.40
  4. Step 4: Simplify right side
    201,610.20x = 49,682,418,526.62
  5. Step 5: Solve for x
    x = 49,682,418,526.62/201,610.20
  6. Step 6: Final answer
    x = 246,428.10

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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.