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Finding the Fourth Proportional to 284,377.05, 426,237.50 and 106,770.75

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Solution

The fourth proportional to 284,377.05, 426,237.50 and 106,770.75 is: 160,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,377.05 : 426,237.50 = 106,770.75 : x
  2. Step 2: Convert to fraction form
    284,377.05/426,237.50 = 106,770.75/x
  3. Step 3: Cross multiply
    284,377.05x = 426,237.50 × 106,770.75
  4. Step 4: Simplify right side
    284,377.05x = 45,509,697,019.27
  5. Step 5: Solve for x
    x = 45,509,697,019.27/284,377.05
  6. Step 6: Final answer
    x = 160,032.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.