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Finding the Fourth Proportional to 194,285.08, 291,414.24 and 119,416.78

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Solution

The fourth proportional to 194,285.08, 291,414.24 and 119,416.78 is: 179,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,285.08 : 291,414.24 = 119,416.78 : x
  2. Step 2: Convert to fraction form
    194,285.08/291,414.24 = 119,416.78/x
  3. Step 3: Cross multiply
    194,285.08x = 291,414.24 × 119,416.78
  4. Step 4: Simplify right side
    194,285.08x = 34,799,750,186.95
  5. Step 5: Solve for x
    x = 34,799,750,186.95/194,285.08
  6. Step 6: Final answer
    x = 179,116.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.