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Finding the Fourth Proportional to 260,822.22, 391,254.21 and 83,354.46

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Solution

The fourth proportional to 260,822.22, 391,254.21 and 83,354.46 is: 125,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,822.22 : 391,254.21 = 83,354.46 : x
  2. Step 2: Convert to fraction form
    260,822.22/391,254.21 = 83,354.46/x
  3. Step 3: Cross multiply
    260,822.22x = 391,254.21 × 83,354.46
  4. Step 4: Simplify right side
    260,822.22x = 32,612,783,397.28
  5. Step 5: Solve for x
    x = 32,612,783,397.28/260,822.22
  6. Step 6: Final answer
    x = 125,038.36

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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.