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Finding the Fourth Proportional to 345,050.82, 476,060.22 and 194,118.66

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Solution

The fourth proportional to 345,050.82, 476,060.22 and 194,118.66 is: 267,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,050.82 : 476,060.22 = 194,118.66 : x
  2. Step 2: Convert to fraction form
    345,050.82/476,060.22 = 194,118.66/x
  3. Step 3: Cross multiply
    345,050.82x = 476,060.22 × 194,118.66
  4. Step 4: Simplify right side
    345,050.82x = 92,412,171,985.71
  5. Step 5: Solve for x
    x = 92,412,171,985.71/345,050.82
  6. Step 6: Final answer
    x = 267,821.92

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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.