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Finding the Fourth Proportional to 164,873.96, 227,505.38 and 97,793

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Solution

The fourth proportional to 164,873.96, 227,505.38 and 97,793 is: 134,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,873.96 : 227,505.38 = 97,793 : x
  2. Step 2: Convert to fraction form
    164,873.96/227,505.38 = 97,793/x
  3. Step 3: Cross multiply
    164,873.96x = 227,505.38 × 97,793
  4. Step 4: Simplify right side
    164,873.96x = 22,248,433,626.34
  5. Step 5: Solve for x
    x = 22,248,433,626.34/164,873.96
  6. Step 6: Final answer
    x = 134,942.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.