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Finding the Fourth Proportional to 96,222.26, 144,355.26 and 43,646.78

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Solution

The fourth proportional to 96,222.26, 144,355.26 and 43,646.78 is: 65,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,222.26 : 144,355.26 = 43,646.78 : x
  2. Step 2: Convert to fraction form
    96,222.26/144,355.26 = 43,646.78/x
  3. Step 3: Cross multiply
    96,222.26x = 144,355.26 × 43,646.78
  4. Step 4: Simplify right side
    96,222.26x = 6,300,642,275.06
  5. Step 5: Solve for x
    x = 6,300,642,275.06/96,222.26
  6. Step 6: Final answer
    x = 65,480.09

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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.