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Finding the Fourth Proportional to 117,098.46, 161,512.38 and 71,787.06

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Solution

The fourth proportional to 117,098.46, 161,512.38 and 71,787.06 is: 99,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,098.46 : 161,512.38 = 71,787.06 : x
  2. Step 2: Convert to fraction form
    117,098.46/161,512.38 = 71,787.06/x
  3. Step 3: Cross multiply
    117,098.46x = 161,512.38 × 71,787.06
  4. Step 4: Simplify right side
    117,098.46x = 11,594,498,913.80
  5. Step 5: Solve for x
    x = 11,594,498,913.80/117,098.46
  6. Step 6: Final answer
    x = 99,014.96

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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.