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Finding the Fourth Proportional to 118,850.48, 178,276 and 30,104

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Solution

The fourth proportional to 118,850.48, 178,276 and 30,104 is: 45,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,850.48 : 178,276 = 30,104 : x
  2. Step 2: Convert to fraction form
    118,850.48/178,276 = 30,104/x
  3. Step 3: Cross multiply
    118,850.48x = 178,276 × 30,104
  4. Step 4: Simplify right side
    118,850.48x = 5,366,820,704
  5. Step 5: Solve for x
    x = 5,366,820,704/118,850.48
  6. Step 6: Final answer
    x = 45,156.07

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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.