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Finding the Fourth Proportional to 277,973.20, 417,164.60 and 111,880.40

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Solution

The fourth proportional to 277,973.20, 417,164.60 and 111,880.40 is: 167,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,973.20 : 417,164.60 = 111,880.40 : x
  2. Step 2: Convert to fraction form
    277,973.20/417,164.60 = 111,880.40/x
  3. Step 3: Cross multiply
    277,973.20x = 417,164.60 × 111,880.40
  4. Step 4: Simplify right side
    277,973.20x = 46,672,542,313.84
  5. Step 5: Solve for x
    x = 46,672,542,313.84/277,973.20
  6. Step 6: Final answer
    x = 167,903.03

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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.