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Finding the Fourth Proportional to 302,186.88, 417,032.64 and 168,048

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Solution

The fourth proportional to 302,186.88, 417,032.64 and 168,048 is: 231,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,186.88 : 417,032.64 = 168,048 : x
  2. Step 2: Convert to fraction form
    302,186.88/417,032.64 = 168,048/x
  3. Step 3: Cross multiply
    302,186.88x = 417,032.64 × 168,048
  4. Step 4: Simplify right side
    302,186.88x = 70,081,501,086.72
  5. Step 5: Solve for x
    x = 70,081,501,086.72/302,186.88
  6. Step 6: Final answer
    x = 231,914.44

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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.