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Finding the Fourth Proportional to 302,196.88, 417,046.44 and 168,058

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Solution

The fourth proportional to 302,196.88, 417,046.44 and 168,058 is: 231,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,196.88 : 417,046.44 = 168,058 : x
  2. Step 2: Convert to fraction form
    302,196.88/417,046.44 = 168,058/x
  3. Step 3: Cross multiply
    302,196.88x = 417,046.44 × 168,058
  4. Step 4: Simplify right side
    302,196.88x = 70,087,990,613.52
  5. Step 5: Solve for x
    x = 70,087,990,613.52/302,196.88
  6. Step 6: Final answer
    x = 231,928.24

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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.