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Finding the Fourth Proportional to 201,013.92, 301,525.00 and 82,669.88

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Solution

The fourth proportional to 201,013.92, 301,525.00 and 82,669.88 is: 124,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,013.92 : 301,525.00 = 82,669.88 : x
  2. Step 2: Convert to fraction form
    201,013.92/301,525.00 = 82,669.88/x
  3. Step 3: Cross multiply
    201,013.92x = 301,525.00 × 82,669.88
  4. Step 4: Simplify right side
    201,013.92x = 24,927,036,114.14
  5. Step 5: Solve for x
    x = 24,927,036,114.14/201,013.92
  6. Step 6: Final answer
    x = 124,006.52

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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.