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Finding the Fourth Proportional to 201,751.34, 302,226.06 and 185,217.62

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Solution

The fourth proportional to 201,751.34, 302,226.06 and 185,217.62 is: 277,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,751.34 : 302,226.06 = 185,217.62 : x
  2. Step 2: Convert to fraction form
    201,751.34/302,226.06 = 185,217.62/x
  3. Step 3: Cross multiply
    201,751.34x = 302,226.06 × 185,217.62
  4. Step 4: Simplify right side
    201,751.34x = 55,977,590,024.05
  5. Step 5: Solve for x
    x = 55,977,590,024.05/201,751.34
  6. Step 6: Final answer
    x = 277,458.34

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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.