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Finding the Fourth Proportional to 126,970.40, 190,455.60 and 33,485.60

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Solution

The fourth proportional to 126,970.40, 190,455.60 and 33,485.60 is: 50,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,970.40 : 190,455.60 = 33,485.60 : x
  2. Step 2: Convert to fraction form
    126,970.40/190,455.60 = 33,485.60/x
  3. Step 3: Cross multiply
    126,970.40x = 190,455.60 × 33,485.60
  4. Step 4: Simplify right side
    126,970.40x = 6,377,520,039.36
  5. Step 5: Solve for x
    x = 6,377,520,039.36/126,970.40
  6. Step 6: Final answer
    x = 50,228.40

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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.