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Finding the Fourth Proportional to 119,085.26, 164,328.63 and 65,361.74

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Solution

The fourth proportional to 119,085.26, 164,328.63 and 65,361.74 is: 90,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,085.26 : 164,328.63 = 65,361.74 : x
  2. Step 2: Convert to fraction form
    119,085.26/164,328.63 = 65,361.74/x
  3. Step 3: Cross multiply
    119,085.26x = 164,328.63 × 65,361.74
  4. Step 4: Simplify right side
    119,085.26x = 10,740,805,188.62
  5. Step 5: Solve for x
    x = 10,740,805,188.62/119,085.26
  6. Step 6: Final answer
    x = 90,194.25

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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.