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Finding the Fourth Proportional to 216,608.48, 324,964.56 and 109,725.92

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Solution

The fourth proportional to 216,608.48, 324,964.56 and 109,725.92 is: 164,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,608.48 : 324,964.56 = 109,725.92 : x
  2. Step 2: Convert to fraction form
    216,608.48/324,964.56 = 109,725.92/x
  3. Step 3: Cross multiply
    216,608.48x = 324,964.56 × 109,725.92
  4. Step 4: Simplify right side
    216,608.48x = 35,657,035,313.40
  5. Step 5: Solve for x
    x = 35,657,035,313.40/216,608.48
  6. Step 6: Final answer
    x = 164,615.14

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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.