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Finding the Fourth Proportional to 201,786.84, 302,680.26 and 95,145.98

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Solution

The fourth proportional to 201,786.84, 302,680.26 and 95,145.98 is: 142,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,786.84 : 302,680.26 = 95,145.98 : x
  2. Step 2: Convert to fraction form
    201,786.84/302,680.26 = 95,145.98/x
  3. Step 3: Cross multiply
    201,786.84x = 302,680.26 × 95,145.98
  4. Step 4: Simplify right side
    201,786.84x = 28,798,808,450.95
  5. Step 5: Solve for x
    x = 28,798,808,450.95/201,786.84
  6. Step 6: Final answer
    x = 142,718.96

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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.