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Finding the Fourth Proportional to 182,574.50, 251,951.09 and 102,015.90

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Solution

The fourth proportional to 182,574.50, 251,951.09 and 102,015.90 is: 140,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,574.50 : 251,951.09 = 102,015.90 : x
  2. Step 2: Convert to fraction form
    182,574.50/251,951.09 = 102,015.90/x
  3. Step 3: Cross multiply
    182,574.50x = 251,951.09 × 102,015.90
  4. Step 4: Simplify right side
    182,574.50x = 25,703,017,202.33
  5. Step 5: Solve for x
    x = 25,703,017,202.33/182,574.50
  6. Step 6: Final answer
    x = 140,780.98

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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.