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Finding the Fourth Proportional to 189,062.81, 260,896.37 and 117,441.53

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Solution

The fourth proportional to 189,062.81, 260,896.37 and 117,441.53 is: 162,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,062.81 : 260,896.37 = 117,441.53 : x
  2. Step 2: Convert to fraction form
    189,062.81/260,896.37 = 117,441.53/x
  3. Step 3: Cross multiply
    189,062.81x = 260,896.37 × 117,441.53
  4. Step 4: Simplify right side
    189,062.81x = 30,640,066,972.56
  5. Step 5: Solve for x
    x = 30,640,066,972.56/189,062.81
  6. Step 6: Final answer
    x = 162,062.90

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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.