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Finding the Fourth Proportional to 117,096.22, 161,623.06 and 76,361.88

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Solution

The fourth proportional to 117,096.22, 161,623.06 and 76,361.88 is: 105,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,096.22 : 161,623.06 = 76,361.88 : x
  2. Step 2: Convert to fraction form
    117,096.22/161,623.06 = 76,361.88/x
  3. Step 3: Cross multiply
    117,096.22x = 161,623.06 × 76,361.88
  4. Step 4: Simplify right side
    117,096.22x = 12,341,840,712.95
  5. Step 5: Solve for x
    x = 12,341,840,712.95/117,096.22
  6. Step 6: Final answer
    x = 105,399.14

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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.