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Finding the Fourth Proportional to 181,266, 271,956.78 and 76,056.72

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Solution

The fourth proportional to 181,266, 271,956.78 and 76,056.72 is: 114,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,266 : 271,956.78 = 76,056.72 : x
  2. Step 2: Convert to fraction form
    181,266/271,956.78 = 76,056.72/x
  3. Step 3: Cross multiply
    181,266x = 271,956.78 × 76,056.72
  4. Step 4: Simplify right side
    181,266x = 20,684,140,668.56
  5. Step 5: Solve for x
    x = 20,684,140,668.56/181,266
  6. Step 6: Final answer
    x = 114,109.32

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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.