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Finding the Fourth Proportional to 165,717.36, 248,541.24 and 53,407.68

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Solution

The fourth proportional to 165,717.36, 248,541.24 and 53,407.68 is: 80,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,717.36 : 248,541.24 = 53,407.68 : x
  2. Step 2: Convert to fraction form
    165,717.36/248,541.24 = 53,407.68/x
  3. Step 3: Cross multiply
    165,717.36x = 248,541.24 × 53,407.68
  4. Step 4: Simplify right side
    165,717.36x = 13,274,011,012.72
  5. Step 5: Solve for x
    x = 13,274,011,012.72/165,717.36
  6. Step 6: Final answer
    x = 80,100.30

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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.