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Finding the Fourth Proportional to 321,362.76, 481,947.09 and 96,663.54

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Solution

The fourth proportional to 321,362.76, 481,947.09 and 96,663.54 is: 144,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,362.76 : 481,947.09 = 96,663.54 : x
  2. Step 2: Convert to fraction form
    321,362.76/481,947.09 = 96,663.54/x
  3. Step 3: Cross multiply
    321,362.76x = 481,947.09 × 96,663.54
  4. Step 4: Simplify right side
    321,362.76x = 46,586,711,812.10
  5. Step 5: Solve for x
    x = 46,586,711,812.10/321,362.76
  6. Step 6: Final answer
    x = 144,966.12

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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.