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Finding the Fourth Proportional to 201,705.65, 302,745.43 and 101,936.07

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Solution

The fourth proportional to 201,705.65, 302,745.43 and 101,936.07 is: 152,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705.65 : 302,745.43 = 101,936.07 : x
  2. Step 2: Convert to fraction form
    201,705.65/302,745.43 = 101,936.07/x
  3. Step 3: Cross multiply
    201,705.65x = 302,745.43 × 101,936.07
  4. Step 4: Simplify right side
    201,705.65x = 30,860,678,834.98
  5. Step 5: Solve for x
    x = 30,860,678,834.98/201,705.65
  6. Step 6: Final answer
    x = 152,998.58

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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.