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Finding the Fourth Proportional to 202,882.40, 304,064.40 and 155,902.40

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Solution

The fourth proportional to 202,882.40, 304,064.40 and 155,902.40 is: 233,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,882.40 : 304,064.40 = 155,902.40 : x
  2. Step 2: Convert to fraction form
    202,882.40/304,064.40 = 155,902.40/x
  3. Step 3: Cross multiply
    202,882.40x = 304,064.40 × 155,902.40
  4. Step 4: Simplify right side
    202,882.40x = 47,404,369,714.56
  5. Step 5: Solve for x
    x = 47,404,369,714.56/202,882.40
  6. Step 6: Final answer
    x = 233,654.42

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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.