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Finding the Fourth Proportional to 96,120.68, 144,090.30 and 46,229

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Solution

The fourth proportional to 96,120.68, 144,090.30 and 46,229 is: 69,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,120.68 : 144,090.30 = 46,229 : x
  2. Step 2: Convert to fraction form
    96,120.68/144,090.30 = 46,229/x
  3. Step 3: Cross multiply
    96,120.68x = 144,090.30 × 46,229
  4. Step 4: Simplify right side
    96,120.68x = 6,661,150,478.70
  5. Step 5: Solve for x
    x = 6,661,150,478.70/96,120.68
  6. Step 6: Final answer
    x = 69,299.87

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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.