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Finding the Fourth Proportional to 118,662.96, 178,023 and 48,542.49

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Solution

The fourth proportional to 118,662.96, 178,023 and 48,542.49 is: 72,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,662.96 : 178,023 = 48,542.49 : x
  2. Step 2: Convert to fraction form
    118,662.96/178,023 = 48,542.49/x
  3. Step 3: Cross multiply
    118,662.96x = 178,023 × 48,542.49
  4. Step 4: Simplify right side
    118,662.96x = 8,641,679,697.27
  5. Step 5: Solve for x
    x = 8,641,679,697.27/118,662.96
  6. Step 6: Final answer
    x = 72,825.42

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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.