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Finding the Fourth Proportional to 202,156.40, 302,651.40 and 196,324.40

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Solution

The fourth proportional to 202,156.40, 302,651.40 and 196,324.40 is: 293,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,156.40 : 302,651.40 = 196,324.40 : x
  2. Step 2: Convert to fraction form
    202,156.40/302,651.40 = 196,324.40/x
  3. Step 3: Cross multiply
    202,156.40x = 302,651.40 × 196,324.40
  4. Step 4: Simplify right side
    202,156.40x = 59,417,854,514.16
  5. Step 5: Solve for x
    x = 59,417,854,514.16/202,156.40
  6. Step 6: Final answer
    x = 293,920.22

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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.