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Finding the Fourth Proportional to 261,879.46, 361,383.46 and 160,075.38

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Solution

The fourth proportional to 261,879.46, 361,383.46 and 160,075.38 is: 220,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,879.46 : 361,383.46 = 160,075.38 : x
  2. Step 2: Convert to fraction form
    261,879.46/361,383.46 = 160,075.38/x
  3. Step 3: Cross multiply
    261,879.46x = 361,383.46 × 160,075.38
  4. Step 4: Simplify right side
    261,879.46x = 57,848,594,685.21
  5. Step 5: Solve for x
    x = 57,848,594,685.21/261,879.46
  6. Step 6: Final answer
    x = 220,897.79

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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.