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Finding the Fourth Proportional to 118,796.84, 178,158 and 38,816.57

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Solution

The fourth proportional to 118,796.84, 178,158 and 38,816.57 is: 58,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,796.84 : 178,158 = 38,816.57 : x
  2. Step 2: Convert to fraction form
    118,796.84/178,158 = 38,816.57/x
  3. Step 3: Cross multiply
    118,796.84x = 178,158 × 38,816.57
  4. Step 4: Simplify right side
    118,796.84x = 6,915,482,478.06
  5. Step 5: Solve for x
    x = 6,915,482,478.06/118,796.84
  6. Step 6: Final answer
    x = 58,212.68

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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.