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Finding the Fourth Proportional to 129,833.81, 194,238.39 and 98,334.89

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Solution

The fourth proportional to 129,833.81, 194,238.39 and 98,334.89 is: 147,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,833.81 : 194,238.39 = 98,334.89 : x
  2. Step 2: Convert to fraction form
    129,833.81/194,238.39 = 98,334.89/x
  3. Step 3: Cross multiply
    129,833.81x = 194,238.39 × 98,334.89
  4. Step 4: Simplify right side
    129,833.81x = 19,100,410,714.43
  5. Step 5: Solve for x
    x = 19,100,410,714.43/129,833.81
  6. Step 6: Final answer
    x = 147,114.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.