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Finding the Fourth Proportional to 96,771.96, 145,021.80 and 76,962.60

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Solution

The fourth proportional to 96,771.96, 145,021.80 and 76,962.60 is: 115,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,771.96 : 145,021.80 = 76,962.60 : x
  2. Step 2: Convert to fraction form
    96,771.96/145,021.80 = 76,962.60/x
  3. Step 3: Cross multiply
    96,771.96x = 145,021.80 × 76,962.60
  4. Step 4: Simplify right side
    96,771.96x = 11,161,254,784.68
  5. Step 5: Solve for x
    x = 11,161,254,784.68/96,771.96
  6. Step 6: Final answer
    x = 115,335.63

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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.