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Finding the Fourth Proportional to 96,063.68, 144,078.72 and 43,460.80

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Solution

The fourth proportional to 96,063.68, 144,078.72 and 43,460.80 is: 65,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,063.68 : 144,078.72 = 43,460.80 : x
  2. Step 2: Convert to fraction form
    96,063.68/144,078.72 = 43,460.80/x
  3. Step 3: Cross multiply
    96,063.68x = 144,078.72 × 43,460.80
  4. Step 4: Simplify right side
    96,063.68x = 6,261,776,434.18
  5. Step 5: Solve for x
    x = 6,261,776,434.18/96,063.68
  6. Step 6: Final answer
    x = 65,183.60

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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.