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Finding the Fourth Proportional to 261,910.38, 361,426.74 and 160,106.34

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Solution

The fourth proportional to 261,910.38, 361,426.74 and 160,106.34 is: 220,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,910.38 : 361,426.74 = 160,106.34 : x
  2. Step 2: Convert to fraction form
    261,910.38/361,426.74 = 160,106.34/x
  3. Step 3: Cross multiply
    261,910.38x = 361,426.74 × 160,106.34
  4. Step 4: Simplify right side
    261,910.38x = 57,866,712,519.53
  5. Step 5: Solve for x
    x = 57,866,712,519.53/261,910.38
  6. Step 6: Final answer
    x = 220,940.89

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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.