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Finding the Fourth Proportional to 118,964.16, 178,433.28 and 48,843.68

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Solution

The fourth proportional to 118,964.16, 178,433.28 and 48,843.68 is: 73,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,964.16 : 178,433.28 = 48,843.68 : x
  2. Step 2: Convert to fraction form
    118,964.16/178,433.28 = 48,843.68/x
  3. Step 3: Cross multiply
    118,964.16x = 178,433.28 × 48,843.68
  4. Step 4: Simplify right side
    118,964.16x = 8,715,337,137.50
  5. Step 5: Solve for x
    x = 8,715,337,137.50/118,964.16
  6. Step 6: Final answer
    x = 73,260.19

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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.