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Finding the Fourth Proportional to 161,096.64, 222,330.78 and 97,469.52

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Solution

The fourth proportional to 161,096.64, 222,330.78 and 97,469.52 is: 134,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,096.64 : 222,330.78 = 97,469.52 : x
  2. Step 2: Convert to fraction form
    161,096.64/222,330.78 = 97,469.52/x
  3. Step 3: Cross multiply
    161,096.64x = 222,330.78 × 97,469.52
  4. Step 4: Simplify right side
    161,096.64x = 21,670,474,407.83
  5. Step 5: Solve for x
    x = 21,670,474,407.83/161,096.64
  6. Step 6: Final answer
    x = 134,518.48

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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.