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Finding the Fourth Proportional to 119,596.26, 165,035.40 and 65,878.26

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Solution

The fourth proportional to 119,596.26, 165,035.40 and 65,878.26 is: 90,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,596.26 : 165,035.40 = 65,878.26 : x
  2. Step 2: Convert to fraction form
    119,596.26/165,035.40 = 65,878.26/x
  3. Step 3: Cross multiply
    119,596.26x = 165,035.40 × 65,878.26
  4. Step 4: Simplify right side
    119,596.26x = 10,872,244,990.40
  5. Step 5: Solve for x
    x = 10,872,244,990.40/119,596.26
  6. Step 6: Final answer
    x = 90,907.90

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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.