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Finding the Fourth Proportional to 302,011.38, 416,775.96 and 166,047.66

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Solution

The fourth proportional to 302,011.38, 416,775.96 and 166,047.66 is: 229,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,011.38 : 416,775.96 = 166,047.66 : x
  2. Step 2: Convert to fraction form
    302,011.38/416,775.96 = 166,047.66/x
  3. Step 3: Cross multiply
    302,011.38x = 416,775.96 × 166,047.66
  4. Step 4: Simplify right side
    302,011.38x = 69,204,672,902.25
  5. Step 5: Solve for x
    x = 69,204,672,902.25/302,011.38
  6. Step 6: Final answer
    x = 229,145.91

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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.