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Finding the Fourth Proportional to 275,573.30, 413,253.66 and 107,071.43

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Solution

The fourth proportional to 275,573.30, 413,253.66 and 107,071.43 is: 160,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,573.30 : 413,253.66 = 107,071.43 : x
  2. Step 2: Convert to fraction form
    275,573.30/413,253.66 = 107,071.43/x
  3. Step 3: Cross multiply
    275,573.30x = 413,253.66 × 107,071.43
  4. Step 4: Simplify right side
    275,573.30x = 44,247,661,362.07
  5. Step 5: Solve for x
    x = 44,247,661,362.07/275,573.30
  6. Step 6: Final answer
    x = 160,565.85

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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.