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Finding the Fourth Proportional to 182,029.10, 251,201.32 and 101,461.73

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Solution

The fourth proportional to 182,029.10, 251,201.32 and 101,461.73 is: 140,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,029.10 : 251,201.32 = 101,461.73 : x
  2. Step 2: Convert to fraction form
    182,029.10/251,201.32 = 101,461.73/x
  3. Step 3: Cross multiply
    182,029.10x = 251,201.32 × 101,461.73
  4. Step 4: Simplify right side
    182,029.10x = 25,487,318,742.17
  5. Step 5: Solve for x
    x = 25,487,318,742.17/182,029.10
  6. Step 6: Final answer
    x = 140,017.83

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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.