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Finding the Fourth Proportional to 302,086.08, 416,889.50 and 166,130.38

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Solution

The fourth proportional to 302,086.08, 416,889.50 and 166,130.38 is: 229,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,086.08 : 416,889.50 = 166,130.38 : x
  2. Step 2: Convert to fraction form
    302,086.08/416,889.50 = 166,130.38/x
  3. Step 3: Cross multiply
    302,086.08x = 416,889.50 × 166,130.38
  4. Step 4: Simplify right side
    302,086.08x = 69,258,011,053.01
  5. Step 5: Solve for x
    x = 69,258,011,053.01/302,086.08
  6. Step 6: Final answer
    x = 229,265.81

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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.