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Finding the Fourth Proportional to 157,882.96, 236,861.64 and 51,266.53

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Solution

The fourth proportional to 157,882.96, 236,861.64 and 51,266.53 is: 76,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,882.96 : 236,861.64 = 51,266.53 : x
  2. Step 2: Convert to fraction form
    157,882.96/236,861.64 = 51,266.53/x
  3. Step 3: Cross multiply
    157,882.96x = 236,861.64 × 51,266.53
  4. Step 4: Simplify right side
    157,882.96x = 12,143,074,372.91
  5. Step 5: Solve for x
    x = 12,143,074,372.91/157,882.96
  6. Step 6: Final answer
    x = 76,911.87

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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.