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Finding the Fourth Proportional to 284,163, 426,252.18 and 87,171

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Solution

The fourth proportional to 284,163, 426,252.18 and 87,171 is: 130,758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,163 : 426,252.18 = 87,171 : x
  2. Step 2: Convert to fraction form
    284,163/426,252.18 = 87,171/x
  3. Step 3: Cross multiply
    284,163x = 426,252.18 × 87,171
  4. Step 4: Simplify right side
    284,163x = 37,156,828,782.78
  5. Step 5: Solve for x
    x = 37,156,828,782.78/284,163
  6. Step 6: Final answer
    x = 130,758.86

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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.