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Finding the Fourth Proportional to 167,670.64, 231,371.76 and 98,749.20

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Solution

The fourth proportional to 167,670.64, 231,371.76 and 98,749.20 is: 136,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,670.64 : 231,371.76 = 98,749.20 : x
  2. Step 2: Convert to fraction form
    167,670.64/231,371.76 = 98,749.20/x
  3. Step 3: Cross multiply
    167,670.64x = 231,371.76 × 98,749.20
  4. Step 4: Simplify right side
    167,670.64x = 22,847,776,202.59
  5. Step 5: Solve for x
    x = 22,847,776,202.59/167,670.64
  6. Step 6: Final answer
    x = 136,265.81

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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.