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Finding the Fourth Proportional to 118,914.44, 178,390.04 and 40,022.48

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Solution

The fourth proportional to 118,914.44, 178,390.04 and 40,022.48 is: 60,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,914.44 : 178,390.04 = 40,022.48 : x
  2. Step 2: Convert to fraction form
    118,914.44/178,390.04 = 40,022.48/x
  3. Step 3: Cross multiply
    118,914.44x = 178,390.04 × 40,022.48
  4. Step 4: Simplify right side
    118,914.44x = 7,139,611,808.10
  5. Step 5: Solve for x
    x = 7,139,611,808.10/118,914.44
  6. Step 6: Final answer
    x = 60,039.91

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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.