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Finding the Fourth Proportional to 218,494.46, 327,742.72 and 76,339.12

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Solution

The fourth proportional to 218,494.46, 327,742.72 and 76,339.12 is: 114,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,494.46 : 327,742.72 = 76,339.12 : x
  2. Step 2: Convert to fraction form
    218,494.46/327,742.72 = 76,339.12/x
  3. Step 3: Cross multiply
    218,494.46x = 327,742.72 × 76,339.12
  4. Step 4: Simplify right side
    218,494.46x = 25,019,590,831.21
  5. Step 5: Solve for x
    x = 25,019,590,831.21/218,494.46
  6. Step 6: Final answer
    x = 114,509.04

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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.