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Finding the Fourth Proportional to 345,069.90, 476,195.49 and 194,166.90

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Solution

The fourth proportional to 345,069.90, 476,195.49 and 194,166.90 is: 267,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,069.90 : 476,195.49 = 194,166.90 : x
  2. Step 2: Convert to fraction form
    345,069.90/476,195.49 = 194,166.90/x
  3. Step 3: Cross multiply
    345,069.90x = 476,195.49 × 194,166.90
  4. Step 4: Simplify right side
    345,069.90x = 92,461,402,087.28
  5. Step 5: Solve for x
    x = 92,461,402,087.28/345,069.90
  6. Step 6: Final answer
    x = 267,949.78

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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.