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Finding the Fourth Proportional to 284,174.72, 426,150.48 and 106,584.92

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Solution

The fourth proportional to 284,174.72, 426,150.48 and 106,584.92 is: 159,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,174.72 : 426,150.48 = 106,584.92 : x
  2. Step 2: Convert to fraction form
    284,174.72/426,150.48 = 106,584.92/x
  3. Step 3: Cross multiply
    284,174.72x = 426,150.48 × 106,584.92
  4. Step 4: Simplify right side
    284,174.72x = 45,421,214,818.76
  5. Step 5: Solve for x
    x = 45,421,214,818.76/284,174.72
  6. Step 6: Final answer
    x = 159,835.52

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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.