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Finding the Fourth Proportional to 203,862.80, 304,421.29 and 166,497

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Solution

The fourth proportional to 203,862.80, 304,421.29 and 166,497 is: 248,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,862.80 : 304,421.29 = 166,497 : x
  2. Step 2: Convert to fraction form
    203,862.80/304,421.29 = 166,497/x
  3. Step 3: Cross multiply
    203,862.80x = 304,421.29 × 166,497
  4. Step 4: Simplify right side
    203,862.80x = 50,685,231,521.13
  5. Step 5: Solve for x
    x = 50,685,231,521.13/203,862.80
  6. Step 6: Final answer
    x = 248,624.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.