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Finding the Fourth Proportional to 202,956.26, 304,428.10 and 96,416.88

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Solution

The fourth proportional to 202,956.26, 304,428.10 and 96,416.88 is: 144,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,956.26 : 304,428.10 = 96,416.88 : x
  2. Step 2: Convert to fraction form
    202,956.26/304,428.10 = 96,416.88/x
  3. Step 3: Cross multiply
    202,956.26x = 304,428.10 × 96,416.88
  4. Step 4: Simplify right side
    202,956.26x = 29,352,007,825.70
  5. Step 5: Solve for x
    x = 29,352,007,825.70/202,956.26
  6. Step 6: Final answer
    x = 144,622.33

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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.