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Finding the Fourth Proportional to 201,705.77, 302,745.61 and 101,936.19

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Solution

The fourth proportional to 201,705.77, 302,745.61 and 101,936.19 is: 152,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705.77 : 302,745.61 = 101,936.19 : x
  2. Step 2: Convert to fraction form
    201,705.77/302,745.61 = 101,936.19/x
  3. Step 3: Cross multiply
    201,705.77x = 302,745.61 × 101,936.19
  4. Step 4: Simplify right side
    201,705.77x = 30,860,735,285.34
  5. Step 5: Solve for x
    x = 30,860,735,285.34/201,705.77
  6. Step 6: Final answer
    x = 152,998.77

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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.