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Finding the Fourth Proportional to 182,649.50, 252,055.46 and 102,076.98

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Solution

The fourth proportional to 182,649.50, 252,055.46 and 102,076.98 is: 140,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,649.50 : 252,055.46 = 102,076.98 : x
  2. Step 2: Convert to fraction form
    182,649.50/252,055.46 = 102,076.98/x
  3. Step 3: Cross multiply
    182,649.50x = 252,055.46 × 102,076.98
  4. Step 4: Simplify right side
    182,649.50x = 25,729,059,638.93
  5. Step 5: Solve for x
    x = 25,729,059,638.93/182,649.50
  6. Step 6: Final answer
    x = 140,865.76

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1.5x scale

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.