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Finding the Fourth Proportional to 166,145, 229,200.24 and 108,759.02

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Solution

The fourth proportional to 166,145, 229,200.24 and 108,759.02 is: 150,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,145 : 229,200.24 = 108,759.02 : x
  2. Step 2: Convert to fraction form
    166,145/229,200.24 = 108,759.02/x
  3. Step 3: Cross multiply
    166,145x = 229,200.24 × 108,759.02
  4. Step 4: Simplify right side
    166,145x = 24,927,593,486.16
  5. Step 5: Solve for x
    x = 24,927,593,486.16/166,145
  6. Step 6: Final answer
    x = 150,035.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.