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Finding the Fourth Proportional to 284,822.88, 426,898.88 and 116,238

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Solution

The fourth proportional to 284,822.88, 426,898.88 and 116,238 is: 174,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,822.88 : 426,898.88 = 116,238 : x
  2. Step 2: Convert to fraction form
    284,822.88/426,898.88 = 116,238/x
  3. Step 3: Cross multiply
    284,822.88x = 426,898.88 × 116,238
  4. Step 4: Simplify right side
    284,822.88x = 49,621,872,013.44
  5. Step 5: Solve for x
    x = 49,621,872,013.44/284,822.88
  6. Step 6: Final answer
    x = 174,220.10

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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.