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Finding the Fourth Proportional to 201,680.70, 302,521.05 and 188,558.70

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Solution

The fourth proportional to 201,680.70, 302,521.05 and 188,558.70 is: 282,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,680.70 : 302,521.05 = 188,558.70 : x
  2. Step 2: Convert to fraction form
    201,680.70/302,521.05 = 188,558.70/x
  3. Step 3: Cross multiply
    201,680.70x = 302,521.05 × 188,558.70
  4. Step 4: Simplify right side
    201,680.70x = 57,042,975,910.64
  5. Step 5: Solve for x
    x = 57,042,975,910.64/201,680.70
  6. Step 6: Final answer
    x = 282,838.05

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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.