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Finding the Fourth Proportional to 102,874.36, 154,323.96 and 36,300.82

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Solution

The fourth proportional to 102,874.36, 154,323.96 and 36,300.82 is: 54,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,874.36 : 154,323.96 = 36,300.82 : x
  2. Step 2: Convert to fraction form
    102,874.36/154,323.96 = 36,300.82/x
  3. Step 3: Cross multiply
    102,874.36x = 154,323.96 × 36,300.82
  4. Step 4: Simplify right side
    102,874.36x = 5,602,086,293.65
  5. Step 5: Solve for x
    x = 5,602,086,293.65/102,874.36
  6. Step 6: Final answer
    x = 54,455.61

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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.