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Finding the Fourth Proportional to 283,150.23, 424,724.91 and 194,133.87

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Solution

The fourth proportional to 283,150.23, 424,724.91 and 194,133.87 is: 291,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,150.23 : 424,724.91 = 194,133.87 : x
  2. Step 2: Convert to fraction form
    283,150.23/424,724.91 = 194,133.87/x
  3. Step 3: Cross multiply
    283,150.23x = 424,724.91 × 194,133.87
  4. Step 4: Simplify right side
    283,150.23x = 82,453,490,463.70
  5. Step 5: Solve for x
    x = 82,453,490,463.70/283,150.23
  6. Step 6: Final answer
    x = 291,200.51

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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.