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Finding the Fourth Proportional to 119,256.88, 164,578.44 and 65,543.80

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Solution

The fourth proportional to 119,256.88, 164,578.44 and 65,543.80 is: 90,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,256.88 : 164,578.44 = 65,543.80 : x
  2. Step 2: Convert to fraction form
    119,256.88/164,578.44 = 65,543.80/x
  3. Step 3: Cross multiply
    119,256.88x = 164,578.44 × 65,543.80
  4. Step 4: Simplify right side
    119,256.88x = 10,787,096,355.67
  5. Step 5: Solve for x
    x = 10,787,096,355.67/119,256.88
  6. Step 6: Final answer
    x = 90,452.61

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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.