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Finding the Fourth Proportional to 96,493, 144,742.34 and 82,363.94

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Solution

The fourth proportional to 96,493, 144,742.34 and 82,363.94 is: 123,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,493 : 144,742.34 = 82,363.94 : x
  2. Step 2: Convert to fraction form
    96,493/144,742.34 = 82,363.94/x
  3. Step 3: Cross multiply
    96,493x = 144,742.34 × 82,363.94
  4. Step 4: Simplify right side
    96,493x = 11,921,549,407.22
  5. Step 5: Solve for x
    x = 11,921,549,407.22/96,493
  6. Step 6: Final answer
    x = 123,548.33

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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.