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Finding the Fourth Proportional to 261,878.46, 361,382.09 and 160,074.38

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Solution

The fourth proportional to 261,878.46, 361,382.09 and 160,074.38 is: 220,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,878.46 : 361,382.09 = 160,074.38 : x
  2. Step 2: Convert to fraction form
    261,878.46/361,382.09 = 160,074.38/x
  3. Step 3: Cross multiply
    261,878.46x = 361,382.09 × 160,074.38
  4. Step 4: Simplify right side
    261,878.46x = 57,848,011,392.57
  5. Step 5: Solve for x
    x = 57,848,011,392.57/261,878.46
  6. Step 6: Final answer
    x = 220,896.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.