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Finding the Fourth Proportional to 110,271.30, 165,078.90 and 65,875.20

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Solution

The fourth proportional to 110,271.30, 165,078.90 and 65,875.20 is: 98,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,271.30 : 165,078.90 = 65,875.20 : x
  2. Step 2: Convert to fraction form
    110,271.30/165,078.90 = 65,875.20/x
  3. Step 3: Cross multiply
    110,271.30x = 165,078.90 × 65,875.20
  4. Step 4: Simplify right side
    110,271.30x = 10,874,605,553.28
  5. Step 5: Solve for x
    x = 10,874,605,553.28/110,271.30
  6. Step 6: Final answer
    x = 98,616.83

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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.