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Finding the Fourth Proportional to 177,163.92, 265,445.20 and 106,895.64

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Solution

The fourth proportional to 177,163.92, 265,445.20 and 106,895.64 is: 160,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,163.92 : 265,445.20 = 106,895.64 : x
  2. Step 2: Convert to fraction form
    177,163.92/265,445.20 = 106,895.64/x
  3. Step 3: Cross multiply
    177,163.92x = 265,445.20 × 106,895.64
  4. Step 4: Simplify right side
    177,163.92x = 28,374,934,538.93
  5. Step 5: Solve for x
    x = 28,374,934,538.93/177,163.92
  6. Step 6: Final answer
    x = 160,162.04

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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.