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Finding the Fourth Proportional to 194,474.60, 291,711.90 and 165,314.60

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Solution

The fourth proportional to 194,474.60, 291,711.90 and 165,314.60 is: 247,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,474.60 : 291,711.90 = 165,314.60 : x
  2. Step 2: Convert to fraction form
    194,474.60/291,711.90 = 165,314.60/x
  3. Step 3: Cross multiply
    194,474.60x = 291,711.90 × 165,314.60
  4. Step 4: Simplify right side
    194,474.60x = 48,224,236,063.74
  5. Step 5: Solve for x
    x = 48,224,236,063.74/194,474.60
  6. Step 6: Final answer
    x = 247,971.90

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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.