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Finding the Fourth Proportional to 166,394, 229,543.44 and 109,008.38

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Solution

The fourth proportional to 166,394, 229,543.44 and 109,008.38 is: 150,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,394 : 229,543.44 = 109,008.38 : x
  2. Step 2: Convert to fraction form
    166,394/229,543.44 = 109,008.38/x
  3. Step 3: Cross multiply
    166,394x = 229,543.44 × 109,008.38
  4. Step 4: Simplify right side
    166,394x = 25,022,158,534.03
  5. Step 5: Solve for x
    x = 25,022,158,534.03/166,394
  6. Step 6: Final answer
    x = 150,378.97

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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.