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Finding the Fourth Proportional to 302,661.81, 417,676.20 and 166,698.84

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Solution

The fourth proportional to 302,661.81, 417,676.20 and 166,698.84 is: 230,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,661.81 : 417,676.20 = 166,698.84 : x
  2. Step 2: Convert to fraction form
    302,661.81/417,676.20 = 166,698.84/x
  3. Step 3: Cross multiply
    302,661.81x = 417,676.20 × 166,698.84
  4. Step 4: Simplify right side
    302,661.81x = 69,626,138,035.61
  5. Step 5: Solve for x
    x = 69,626,138,035.61/302,661.81
  6. Step 6: Final answer
    x = 230,046.00

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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.