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Finding the Fourth Proportional to 277,446.24, 416,190.72 and 99,970.56

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Solution

The fourth proportional to 277,446.24, 416,190.72 and 99,970.56 is: 149,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,446.24 : 416,190.72 = 99,970.56 : x
  2. Step 2: Convert to fraction form
    277,446.24/416,190.72 = 99,970.56/x
  3. Step 3: Cross multiply
    277,446.24x = 416,190.72 × 99,970.56
  4. Step 4: Simplify right side
    277,446.24x = 41,606,819,345.20
  5. Step 5: Solve for x
    x = 41,606,819,345.20/277,446.24
  6. Step 6: Final answer
    x = 149,963.54

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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.