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Finding the Fourth Proportional to 96,405.60, 144,435.60 and 82,581.60

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Solution

The fourth proportional to 96,405.60, 144,435.60 and 82,581.60 is: 123,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,405.60 : 144,435.60 = 82,581.60 : x
  2. Step 2: Convert to fraction form
    96,405.60/144,435.60 = 82,581.60/x
  3. Step 3: Cross multiply
    96,405.60x = 144,435.60 × 82,581.60
  4. Step 4: Simplify right side
    96,405.60x = 11,927,722,944.96
  5. Step 5: Solve for x
    x = 11,927,722,944.96/96,405.60
  6. Step 6: Final answer
    x = 123,724.38

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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.