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Finding the Fourth Proportional to 218,624.88, 301,841.62 and 178,434.52

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Solution

The fourth proportional to 218,624.88, 301,841.62 and 178,434.52 is: 246,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,624.88 : 301,841.62 = 178,434.52 : x
  2. Step 2: Convert to fraction form
    218,624.88/301,841.62 = 178,434.52/x
  3. Step 3: Cross multiply
    218,624.88x = 301,841.62 × 178,434.52
  4. Step 4: Simplify right side
    218,624.88x = 53,858,964,580.72
  5. Step 5: Solve for x
    x = 53,858,964,580.72/218,624.88
  6. Step 6: Final answer
    x = 246,353.32

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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.