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Finding the Fourth Proportional to 102,660, 154,051.44 and 44,292

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Solution

The fourth proportional to 102,660, 154,051.44 and 44,292 is: 66,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,660 : 154,051.44 = 44,292 : x
  2. Step 2: Convert to fraction form
    102,660/154,051.44 = 44,292/x
  3. Step 3: Cross multiply
    102,660x = 154,051.44 × 44,292
  4. Step 4: Simplify right side
    102,660x = 6,823,246,380.48
  5. Step 5: Solve for x
    x = 6,823,246,380.48/102,660
  6. Step 6: Final answer
    x = 66,464.51

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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.