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Finding the Fourth Proportional to 96,211.23, 144,255.71 and 84,388.74

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Solution

The fourth proportional to 96,211.23, 144,255.71 and 84,388.74 is: 126,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,211.23 : 144,255.71 = 84,388.74 : x
  2. Step 2: Convert to fraction form
    96,211.23/144,255.71 = 84,388.74/x
  3. Step 3: Cross multiply
    96,211.23x = 144,255.71 × 84,388.74
  4. Step 4: Simplify right side
    96,211.23x = 12,173,557,604.71
  5. Step 5: Solve for x
    x = 12,173,557,604.71/96,211.23
  6. Step 6: Final answer
    x = 126,529.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.