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Finding the Fourth Proportional to 96,494.13, 144,741.54 and 68,329.00

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Solution

The fourth proportional to 96,494.13, 144,741.54 and 68,329.00 is: 102,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,494.13 : 144,741.54 = 68,329.00 : x
  2. Step 2: Convert to fraction form
    96,494.13/144,741.54 = 68,329.00/x
  3. Step 3: Cross multiply
    96,494.13x = 144,741.54 × 68,329.00
  4. Step 4: Simplify right side
    96,494.13x = 9,890,044,867.59
  5. Step 5: Solve for x
    x = 9,890,044,867.59/96,494.13
  6. Step 6: Final answer
    x = 102,493.74

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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.