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Finding the Fourth Proportional to 118,896.95, 178,417.89 and 47,806.26

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Solution

The fourth proportional to 118,896.95, 178,417.89 and 47,806.26 is: 71,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,896.95 : 178,417.89 = 47,806.26 : x
  2. Step 2: Convert to fraction form
    118,896.95/178,417.89 = 47,806.26/x
  3. Step 3: Cross multiply
    118,896.95x = 178,417.89 × 47,806.26
  4. Step 4: Simplify right side
    118,896.95x = 8,529,492,037.99
  5. Step 5: Solve for x
    x = 8,529,492,037.99/118,896.95
  6. Step 6: Final answer
    x = 71,738.53

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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.