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Finding the Fourth Proportional to 96,222.89, 144,465.23 and 54,132.60

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Solution

The fourth proportional to 96,222.89, 144,465.23 and 54,132.60 is: 81,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,222.89 : 144,465.23 = 54,132.60 : x
  2. Step 2: Convert to fraction form
    96,222.89/144,465.23 = 54,132.60/x
  3. Step 3: Cross multiply
    96,222.89x = 144,465.23 × 54,132.60
  4. Step 4: Simplify right side
    96,222.89x = 7,820,278,509.50
  5. Step 5: Solve for x
    x = 7,820,278,509.50/96,222.89
  6. Step 6: Final answer
    x = 81,272.54

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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.