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Finding the Fourth Proportional to 302,049.48, 416,837.34 and 166,076.40

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Solution

The fourth proportional to 302,049.48, 416,837.34 and 166,076.40 is: 229,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,049.48 : 416,837.34 = 166,076.40 : x
  2. Step 2: Convert to fraction form
    302,049.48/416,837.34 = 166,076.40/x
  3. Step 3: Cross multiply
    302,049.48x = 416,837.34 × 166,076.40
  4. Step 4: Simplify right side
    302,049.48x = 69,226,844,812.78
  5. Step 5: Solve for x
    x = 69,226,844,812.78/302,049.48
  6. Step 6: Final answer
    x = 229,190.41

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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.