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Finding the Fourth Proportional to 118,978.06, 178,447.94 and 34,718.44

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Solution

The fourth proportional to 118,978.06, 178,447.94 and 34,718.44 is: 52,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,978.06 : 178,447.94 = 34,718.44 : x
  2. Step 2: Convert to fraction form
    118,978.06/178,447.94 = 34,718.44/x
  3. Step 3: Cross multiply
    118,978.06x = 178,447.94 × 34,718.44
  4. Step 4: Simplify right side
    118,978.06x = 6,195,434,098.01
  5. Step 5: Solve for x
    x = 6,195,434,098.01/118,978.06
  6. Step 6: Final answer
    x = 52,072.07

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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.