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Finding the Fourth Proportional to 172,676.64, 258,946.86 and 83,903.88

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Solution

The fourth proportional to 172,676.64, 258,946.86 and 83,903.88 is: 125,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,676.64 : 258,946.86 = 83,903.88 : x
  2. Step 2: Convert to fraction form
    172,676.64/258,946.86 = 83,903.88/x
  3. Step 3: Cross multiply
    172,676.64x = 258,946.86 × 83,903.88
  4. Step 4: Simplify right side
    172,676.64x = 21,726,646,267.82
  5. Step 5: Solve for x
    x = 21,726,646,267.82/172,676.64
  6. Step 6: Final answer
    x = 125,822.73

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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.