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Finding the Fourth Proportional to 218,704.13, 301,811.70 and 118,102.13

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Solution

The fourth proportional to 218,704.13, 301,811.70 and 118,102.13 is: 162,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,704.13 : 301,811.70 = 118,102.13 : x
  2. Step 2: Convert to fraction form
    218,704.13/301,811.70 = 118,102.13/x
  3. Step 3: Cross multiply
    218,704.13x = 301,811.70 × 118,102.13
  4. Step 4: Simplify right side
    218,704.13x = 35,644,603,119.86
  5. Step 5: Solve for x
    x = 35,644,603,119.86/218,704.13
  6. Step 6: Final answer
    x = 162,980.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.