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Finding the Fourth Proportional to 275,106.96, 412,697.16 and 108,856.08

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Solution

The fourth proportional to 275,106.96, 412,697.16 and 108,856.08 is: 163,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,106.96 : 412,697.16 = 108,856.08 : x
  2. Step 2: Convert to fraction form
    275,106.96/412,697.16 = 108,856.08/x
  3. Step 3: Cross multiply
    275,106.96x = 412,697.16 × 108,856.08
  4. Step 4: Simplify right side
    275,106.96x = 44,924,595,064.73
  5. Step 5: Solve for x
    x = 44,924,595,064.73/275,106.96
  6. Step 6: Final answer
    x = 163,298.65

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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.