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Finding the Fourth Proportional to 218,416.66, 327,703.84 and 76,282.86

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Solution

The fourth proportional to 218,416.66, 327,703.84 and 76,282.86 is: 114,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,416.66 : 327,703.84 = 76,282.86 : x
  2. Step 2: Convert to fraction form
    218,416.66/327,703.84 = 76,282.86/x
  3. Step 3: Cross multiply
    218,416.66x = 327,703.84 × 76,282.86
  4. Step 4: Simplify right side
    218,416.66x = 24,998,186,148.18
  5. Step 5: Solve for x
    x = 24,998,186,148.18/218,416.66
  6. Step 6: Final answer
    x = 114,451.83

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1.5x scale

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.