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Finding the Fourth Proportional to 96,212.60, 144,257.77 and 84,390.11

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Solution

The fourth proportional to 96,212.60, 144,257.77 and 84,390.11 is: 126,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,212.60 : 144,257.77 = 84,390.11 : x
  2. Step 2: Convert to fraction form
    96,212.60/144,257.77 = 84,390.11/x
  3. Step 3: Cross multiply
    96,212.60x = 144,257.77 × 84,390.11
  4. Step 4: Simplify right side
    96,212.60x = 12,173,928,656.70
  5. Step 5: Solve for x
    x = 12,173,928,656.70/96,212.60
  6. Step 6: Final answer
    x = 126,531.54

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Why These Related Problems?

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