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Finding the Fourth Proportional to 120,264.53, 165,982.66 and 69,267.46

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Solution

The fourth proportional to 120,264.53, 165,982.66 and 69,267.46 is: 95,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,264.53 : 165,982.66 = 69,267.46 : x
  2. Step 2: Convert to fraction form
    120,264.53/165,982.66 = 69,267.46/x
  3. Step 3: Cross multiply
    120,264.53x = 165,982.66 × 69,267.46
  4. Step 4: Simplify right side
    120,264.53x = 11,497,196,085.99
  5. Step 5: Solve for x
    x = 11,497,196,085.99/120,264.53
  6. Step 6: Final answer
    x = 95,599.23

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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.