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Finding the Fourth Proportional to 276,369.79, 413,890.36 and 157,681.30

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Solution

The fourth proportional to 276,369.79, 413,890.36 and 157,681.30 is: 236,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,369.79 : 413,890.36 = 157,681.30 : x
  2. Step 2: Convert to fraction form
    276,369.79/413,890.36 = 157,681.30/x
  3. Step 3: Cross multiply
    276,369.79x = 413,890.36 × 157,681.30
  4. Step 4: Simplify right side
    276,369.79x = 65,262,770,022.27
  5. Step 5: Solve for x
    x = 65,262,770,022.27/276,369.79
  6. Step 6: Final answer
    x = 236,142.92

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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.