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Finding the Fourth Proportional to 202,133.40, 302,616.90 and 196,301.40

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Solution

The fourth proportional to 202,133.40, 302,616.90 and 196,301.40 is: 293,885.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,133.40 : 302,616.90 = 196,301.40 : x
  2. Step 2: Convert to fraction form
    202,133.40/302,616.90 = 196,301.40/x
  3. Step 3: Cross multiply
    202,133.40x = 302,616.90 × 196,301.40
  4. Step 4: Simplify right side
    202,133.40x = 59,404,121,133.66
  5. Step 5: Solve for x
    x = 59,404,121,133.66/202,133.40
  6. Step 6: Final answer
    x = 293,885.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.