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Finding the Fourth Proportional to 116,076.12, 174,118.32 and 37,180.11

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Solution

The fourth proportional to 116,076.12, 174,118.32 and 37,180.11 is: 55,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,076.12 : 174,118.32 = 37,180.11 : x
  2. Step 2: Convert to fraction form
    116,076.12/174,118.32 = 37,180.11/x
  3. Step 3: Cross multiply
    116,076.12x = 174,118.32 × 37,180.11
  4. Step 4: Simplify right side
    116,076.12x = 6,473,738,290.62
  5. Step 5: Solve for x
    x = 6,473,738,290.62/116,076.12
  6. Step 6: Final answer
    x = 55,771.49

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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.