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Finding the Fourth Proportional to 120,095.49, 165,748.25 and 69,107.18

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Solution

The fourth proportional to 120,095.49, 165,748.25 and 69,107.18 is: 95,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,095.49 : 165,748.25 = 69,107.18 : x
  2. Step 2: Convert to fraction form
    120,095.49/165,748.25 = 69,107.18/x
  3. Step 3: Cross multiply
    120,095.49x = 165,748.25 × 69,107.18
  4. Step 4: Simplify right side
    120,095.49x = 11,454,393,297.10
  5. Step 5: Solve for x
    x = 11,454,393,297.10/120,095.49
  6. Step 6: Final answer
    x = 95,377.38

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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.