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Finding the Fourth Proportional to 110,358.10, 165,623.55 and 51,201.10

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Solution

The fourth proportional to 110,358.10, 165,623.55 and 51,201.10 is: 76,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,358.10 : 165,623.55 = 51,201.10 : x
  2. Step 2: Convert to fraction form
    110,358.10/165,623.55 = 51,201.10/x
  3. Step 3: Cross multiply
    110,358.10x = 165,623.55 × 51,201.10
  4. Step 4: Simplify right side
    110,358.10x = 8,480,107,945.91
  5. Step 5: Solve for x
    x = 8,480,107,945.91/110,358.10
  6. Step 6: Final answer
    x = 76,841.74

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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.