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Finding the Fourth Proportional to 194,449.80, 291,674.70 and 165,909.45

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Solution

The fourth proportional to 194,449.80, 291,674.70 and 165,909.45 is: 248,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,449.80 : 291,674.70 = 165,909.45 : x
  2. Step 2: Convert to fraction form
    194,449.80/291,674.70 = 165,909.45/x
  3. Step 3: Cross multiply
    194,449.80x = 291,674.70 × 165,909.45
  4. Step 4: Simplify right side
    194,449.80x = 48,391,589,055.92
  5. Step 5: Solve for x
    x = 48,391,589,055.92/194,449.80
  6. Step 6: Final answer
    x = 248,864.18

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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.