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Finding the Fourth Proportional to 96,923.60, 145,404.60 and 81,448.40

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Solution

The fourth proportional to 96,923.60, 145,404.60 and 81,448.40 is: 122,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,923.60 : 145,404.60 = 81,448.40 : x
  2. Step 2: Convert to fraction form
    96,923.60/145,404.60 = 81,448.40/x
  3. Step 3: Cross multiply
    96,923.60x = 145,404.60 × 81,448.40
  4. Step 4: Simplify right side
    96,923.60x = 11,842,972,022.64
  5. Step 5: Solve for x
    x = 11,842,972,022.64/96,923.60
  6. Step 6: Final answer
    x = 122,188.73

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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.