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Finding the Fourth Proportional to 345,114.90, 476,257.59 and 194,211.90

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Solution

The fourth proportional to 345,114.90, 476,257.59 and 194,211.90 is: 268,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,114.90 : 476,257.59 = 194,211.90 : x
  2. Step 2: Convert to fraction form
    345,114.90/476,257.59 = 194,211.90/x
  3. Step 3: Cross multiply
    345,114.90x = 476,257.59 × 194,211.90
  4. Step 4: Simplify right side
    345,114.90x = 92,494,891,443.32
  5. Step 5: Solve for x
    x = 92,494,891,443.32/345,114.90
  6. Step 6: Final answer
    x = 268,011.88

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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.