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Finding the Fourth Proportional to 277,470.80, 416,129.40 and 111,275.60

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Solution

The fourth proportional to 277,470.80, 416,129.40 and 111,275.60 is: 166,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,470.80 : 416,129.40 = 111,275.60 : x
  2. Step 2: Convert to fraction form
    277,470.80/416,129.40 = 111,275.60/x
  3. Step 3: Cross multiply
    277,470.80x = 416,129.40 × 111,275.60
  4. Step 4: Simplify right side
    277,470.80x = 46,305,048,662.64
  5. Step 5: Solve for x
    x = 46,305,048,662.64/277,470.80
  6. Step 6: Final answer
    x = 166,882.60

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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.