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Finding the Fourth Proportional to 283,144.24, 424,715.91 and 194,127.87

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Solution

The fourth proportional to 283,144.24, 424,715.91 and 194,127.87 is: 291,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,144.24 : 424,715.91 = 194,127.87 : x
  2. Step 2: Convert to fraction form
    283,144.24/424,715.91 = 194,127.87/x
  3. Step 3: Cross multiply
    283,144.24x = 424,715.91 × 194,127.87
  4. Step 4: Simplify right side
    283,144.24x = 82,449,195,828.12
  5. Step 5: Solve for x
    x = 82,449,195,828.12/283,144.24
  6. Step 6: Final answer
    x = 291,191.50

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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.