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Finding the Fourth Proportional to 284,951.88, 427,466.70 and 118,701

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Solution

The fourth proportional to 284,951.88, 427,466.70 and 118,701 is: 178,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,951.88 : 427,466.70 = 118,701 : x
  2. Step 2: Convert to fraction form
    284,951.88/427,466.70 = 118,701/x
  3. Step 3: Cross multiply
    284,951.88x = 427,466.70 × 118,701
  4. Step 4: Simplify right side
    284,951.88x = 50,740,724,756.70
  5. Step 5: Solve for x
    x = 50,740,724,756.70/284,951.88
  6. Step 6: Final answer
    x = 178,067.70

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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.