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Finding the Fourth Proportional to 218,836.64, 301,994.62 and 118,234.64

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Solution

The fourth proportional to 218,836.64, 301,994.62 and 118,234.64 is: 163,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,836.64 : 301,994.62 = 118,234.64 : x
  2. Step 2: Convert to fraction form
    218,836.64/301,994.62 = 118,234.64/x
  3. Step 3: Cross multiply
    218,836.64x = 301,994.62 × 118,234.64
  4. Step 4: Simplify right side
    218,836.64x = 35,706,225,177.64
  5. Step 5: Solve for x
    x = 35,706,225,177.64/218,836.64
  6. Step 6: Final answer
    x = 163,163.83

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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.