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Finding the Fourth Proportional to 120,096.13, 165,622.48 and 72,266.44

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Solution

The fourth proportional to 120,096.13, 165,622.48 and 72,266.44 is: 99,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,096.13 : 165,622.48 = 72,266.44 : x
  2. Step 2: Convert to fraction form
    120,096.13/165,622.48 = 72,266.44/x
  3. Step 3: Cross multiply
    120,096.13x = 165,622.48 × 72,266.44
  4. Step 4: Simplify right side
    120,096.13x = 11,968,947,013.57
  5. Step 5: Solve for x
    x = 11,968,947,013.57/120,096.13
  6. Step 6: Final answer
    x = 99,661.39

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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.