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Finding the Fourth Proportional to 202,882.80, 304,324.20 and 153,310.80

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Solution

The fourth proportional to 202,882.80, 304,324.20 and 153,310.80 is: 229,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,882.80 : 304,324.20 = 153,310.80 : x
  2. Step 2: Convert to fraction form
    202,882.80/304,324.20 = 153,310.80/x
  3. Step 3: Cross multiply
    202,882.80x = 304,324.20 × 153,310.80
  4. Step 4: Simplify right side
    202,882.80x = 46,656,186,561.36
  5. Step 5: Solve for x
    x = 46,656,186,561.36/202,882.80
  6. Step 6: Final answer
    x = 229,966.20

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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.