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Finding the Fourth Proportional to 202,900.57, 304,059.71 and 113,966.90

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Solution

The fourth proportional to 202,900.57, 304,059.71 and 113,966.90 is: 170,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,900.57 : 304,059.71 = 113,966.90 : x
  2. Step 2: Convert to fraction form
    202,900.57/304,059.71 = 113,966.90/x
  3. Step 3: Cross multiply
    202,900.57x = 304,059.71 × 113,966.90
  4. Step 4: Simplify right side
    202,900.57x = 34,652,743,608.67
  5. Step 5: Solve for x
    x = 34,652,743,608.67/202,900.57
  6. Step 6: Final answer
    x = 170,786.82

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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.