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Finding the Fourth Proportional to 189,770.96, 261,881.16 and 114,361.04

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Solution

The fourth proportional to 189,770.96, 261,881.16 and 114,361.04 is: 157,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,770.96 : 261,881.16 = 114,361.04 : x
  2. Step 2: Convert to fraction form
    189,770.96/261,881.16 = 114,361.04/x
  3. Step 3: Cross multiply
    189,770.96x = 261,881.16 × 114,361.04
  4. Step 4: Simplify right side
    189,770.96x = 29,949,001,814.01
  5. Step 5: Solve for x
    x = 29,949,001,814.01/189,770.96
  6. Step 6: Final answer
    x = 157,816.57

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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.