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Finding the Fourth Proportional to 148,378.92, 204,758.46 and 84,704.28

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Solution

The fourth proportional to 148,378.92, 204,758.46 and 84,704.28 is: 116,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,378.92 : 204,758.46 = 84,704.28 : x
  2. Step 2: Convert to fraction form
    148,378.92/204,758.46 = 84,704.28/x
  3. Step 3: Cross multiply
    148,378.92x = 204,758.46 × 84,704.28
  4. Step 4: Simplify right side
    148,378.92x = 17,343,917,928.21
  5. Step 5: Solve for x
    x = 17,343,917,928.21/148,378.92
  6. Step 6: Final answer
    x = 116,889.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.