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Finding the Fourth Proportional to 302,918.97, 418,011.12 and 166,952.51

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Solution

The fourth proportional to 302,918.97, 418,011.12 and 166,952.51 is: 230,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,918.97 : 418,011.12 = 166,952.51 : x
  2. Step 2: Convert to fraction form
    302,918.97/418,011.12 = 166,952.51/x
  3. Step 3: Cross multiply
    302,918.97x = 418,011.12 × 166,952.51
  4. Step 4: Simplify right side
    302,918.97x = 69,788,003,601.86
  5. Step 5: Solve for x
    x = 69,788,003,601.86/302,918.97
  6. Step 6: Final answer
    x = 230,385.06

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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.