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Finding the Fourth Proportional to 302,265.99, 417,127.05 and 166,297.01

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Solution

The fourth proportional to 302,265.99, 417,127.05 and 166,297.01 is: 229,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,265.99 : 417,127.05 = 166,297.01 : x
  2. Step 2: Convert to fraction form
    302,265.99/417,127.05 = 166,297.01/x
  3. Step 3: Cross multiply
    302,265.99x = 417,127.05 × 166,297.01
  4. Step 4: Simplify right side
    302,265.99x = 69,366,979,119.49
  5. Step 5: Solve for x
    x = 69,366,979,119.49/302,265.99
  6. Step 6: Final answer
    x = 229,489.86

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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.