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Finding the Fourth Proportional to 116,133.40, 174,200.10 and 33,016.60

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Solution

The fourth proportional to 116,133.40, 174,200.10 and 33,016.60 is: 49,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,133.40 : 174,200.10 = 33,016.60 : x
  2. Step 2: Convert to fraction form
    116,133.40/174,200.10 = 33,016.60/x
  3. Step 3: Cross multiply
    116,133.40x = 174,200.10 × 33,016.60
  4. Step 4: Simplify right side
    116,133.40x = 5,751,495,021.66
  5. Step 5: Solve for x
    x = 5,751,495,021.66/116,133.40
  6. Step 6: Final answer
    x = 49,524.90

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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.