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Finding the Fourth Proportional to 141,157, 194,813.94 and 81,541

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Solution

The fourth proportional to 141,157, 194,813.94 and 81,541 is: 112,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,157 : 194,813.94 = 81,541 : x
  2. Step 2: Convert to fraction form
    141,157/194,813.94 = 81,541/x
  3. Step 3: Cross multiply
    141,157x = 194,813.94 × 81,541
  4. Step 4: Simplify right side
    141,157x = 15,885,323,481.54
  5. Step 5: Solve for x
    x = 15,885,323,481.54/141,157
  6. Step 6: Final answer
    x = 112,536.56

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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.