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Finding the Fourth Proportional to 196,915.50, 271,749.99 and 107,491.50

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Solution

The fourth proportional to 196,915.50, 271,749.99 and 107,491.50 is: 148,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,915.50 : 271,749.99 = 107,491.50 : x
  2. Step 2: Convert to fraction form
    196,915.50/271,749.99 = 107,491.50/x
  3. Step 3: Cross multiply
    196,915.50x = 271,749.99 × 107,491.50
  4. Step 4: Simplify right side
    196,915.50x = 29,210,814,050.09
  5. Step 5: Solve for x
    x = 29,210,814,050.09/196,915.50
  6. Step 6: Final answer
    x = 148,341.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.