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Finding the Fourth Proportional to 277,584.60, 416,121.76 and 100,048.16

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Solution

The fourth proportional to 277,584.60, 416,121.76 and 100,048.16 is: 149,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,584.60 : 416,121.76 = 100,048.16 : x
  2. Step 2: Convert to fraction form
    277,584.60/416,121.76 = 100,048.16/x
  3. Step 3: Cross multiply
    277,584.60x = 416,121.76 × 100,048.16
  4. Step 4: Simplify right side
    277,584.60x = 41,632,216,423.96
  5. Step 5: Solve for x
    x = 41,632,216,423.96/277,584.60
  6. Step 6: Final answer
    x = 149,980.28

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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.