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Finding the Fourth Proportional to 118,924.50, 178,386.75 and 30,178.47

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Solution

The fourth proportional to 118,924.50, 178,386.75 and 30,178.47 is: 45,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,924.50 : 178,386.75 = 30,178.47 : x
  2. Step 2: Convert to fraction form
    118,924.50/178,386.75 = 30,178.47/x
  3. Step 3: Cross multiply
    118,924.50x = 178,386.75 × 30,178.47
  4. Step 4: Simplify right side
    118,924.50x = 5,383,439,183.27
  5. Step 5: Solve for x
    x = 5,383,439,183.27/118,924.50
  6. Step 6: Final answer
    x = 45,267.71

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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.