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Finding the Fourth Proportional to 102,714.39, 141,752.43 and 57,392.49

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Solution

The fourth proportional to 102,714.39, 141,752.43 and 57,392.49 is: 79,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714.39 : 141,752.43 = 57,392.49 : x
  2. Step 2: Convert to fraction form
    102,714.39/141,752.43 = 57,392.49/x
  3. Step 3: Cross multiply
    102,714.39x = 141,752.43 × 57,392.49
  4. Step 4: Simplify right side
    102,714.39x = 8,135,524,921.25
  5. Step 5: Solve for x
    x = 8,135,524,921.25/102,714.39
  6. Step 6: Final answer
    x = 79,205.31

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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.