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Finding the Fourth Proportional to 201,586.62, 302,168.96 and 75,176.01

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Solution

The fourth proportional to 201,586.62, 302,168.96 and 75,176.01 is: 112,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,586.62 : 302,168.96 = 75,176.01 : x
  2. Step 2: Convert to fraction form
    201,586.62/302,168.96 = 75,176.01/x
  3. Step 3: Cross multiply
    201,586.62x = 302,168.96 × 75,176.01
  4. Step 4: Simplify right side
    201,586.62x = 22,715,856,758.65
  5. Step 5: Solve for x
    x = 22,715,856,758.65/201,586.62
  6. Step 6: Final answer
    x = 112,685.34

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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.