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Finding the Fourth Proportional to 171,693.80, 257,540.70 and 76,923.80

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Solution

The fourth proportional to 171,693.80, 257,540.70 and 76,923.80 is: 115,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,693.80 : 257,540.70 = 76,923.80 : x
  2. Step 2: Convert to fraction form
    171,693.80/257,540.70 = 76,923.80/x
  3. Step 3: Cross multiply
    171,693.80x = 257,540.70 × 76,923.80
  4. Step 4: Simplify right side
    171,693.80x = 19,811,009,298.66
  5. Step 5: Solve for x
    x = 19,811,009,298.66/171,693.80
  6. Step 6: Final answer
    x = 115,385.70

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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.