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Finding the Fourth Proportional to 118,717.42, 178,074.62 and 47,671.50

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Solution

The fourth proportional to 118,717.42, 178,074.62 and 47,671.50 is: 71,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,717.42 : 178,074.62 = 47,671.50 : x
  2. Step 2: Convert to fraction form
    118,717.42/178,074.62 = 47,671.50/x
  3. Step 3: Cross multiply
    118,717.42x = 178,074.62 × 47,671.50
  4. Step 4: Simplify right side
    118,717.42x = 8,489,084,247.33
  5. Step 5: Solve for x
    x = 8,489,084,247.33/118,717.42
  6. Step 6: Final answer
    x = 71,506.64

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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.