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Finding the Fourth Proportional to 169,732.96, 234,235.20 and 98,116

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Solution

The fourth proportional to 169,732.96, 234,235.20 and 98,116 is: 135,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,732.96 : 234,235.20 = 98,116 : x
  2. Step 2: Convert to fraction form
    169,732.96/234,235.20 = 98,116/x
  3. Step 3: Cross multiply
    169,732.96x = 234,235.20 × 98,116
  4. Step 4: Simplify right side
    169,732.96x = 22,982,220,883.20
  5. Step 5: Solve for x
    x = 22,982,220,883.20/169,732.96
  6. Step 6: Final answer
    x = 135,402.23

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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.