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Finding the Fourth Proportional to 102,205.04, 141,042.92 and 57,493.04

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Solution

The fourth proportional to 102,205.04, 141,042.92 and 57,493.04 is: 79,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,205.04 : 141,042.92 = 57,493.04 : x
  2. Step 2: Convert to fraction form
    102,205.04/141,042.92 = 57,493.04/x
  3. Step 3: Cross multiply
    102,205.04x = 141,042.92 × 57,493.04
  4. Step 4: Simplify right side
    102,205.04x = 8,108,986,241.28
  5. Step 5: Solve for x
    x = 8,108,986,241.28/102,205.04
  6. Step 6: Final answer
    x = 79,340.38

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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.