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Finding the Fourth Proportional to 96,494.64, 144,742.29 and 68,329.50

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Solution

The fourth proportional to 96,494.64, 144,742.29 and 68,329.50 is: 102,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,494.64 : 144,742.29 = 68,329.50 : x
  2. Step 2: Convert to fraction form
    96,494.64/144,742.29 = 68,329.50/x
  3. Step 3: Cross multiply
    96,494.64x = 144,742.29 × 68,329.50
  4. Step 4: Simplify right side
    96,494.64x = 9,890,168,304.56
  5. Step 5: Solve for x
    x = 9,890,168,304.56/96,494.64
  6. Step 6: Final answer
    x = 102,494.48

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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.