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Finding the Fourth Proportional to 201,842.70, 302,764.05 and 188,720.70

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Solution

The fourth proportional to 201,842.70, 302,764.05 and 188,720.70 is: 283,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,842.70 : 302,764.05 = 188,720.70 : x
  2. Step 2: Convert to fraction form
    201,842.70/302,764.05 = 188,720.70/x
  3. Step 3: Cross multiply
    201,842.70x = 302,764.05 × 188,720.70
  4. Step 4: Simplify right side
    201,842.70x = 57,137,843,450.84
  5. Step 5: Solve for x
    x = 57,137,843,450.84/201,842.70
  6. Step 6: Final answer
    x = 283,081.05

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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.