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Finding the Fourth Proportional to 182,293.34, 251,564.34 and 101,720

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Solution

The fourth proportional to 182,293.34, 251,564.34 and 101,720 is: 140,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,293.34 : 251,564.34 = 101,720 : x
  2. Step 2: Convert to fraction form
    182,293.34/251,564.34 = 101,720/x
  3. Step 3: Cross multiply
    182,293.34x = 251,564.34 × 101,720
  4. Step 4: Simplify right side
    182,293.34x = 25,589,124,664.80
  5. Step 5: Solve for x
    x = 25,589,124,664.80/182,293.34
  6. Step 6: Final answer
    x = 140,373.34

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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.