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Finding the Fourth Proportional to 214,262.56, 295,684.80 and 118,770.88

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Solution

The fourth proportional to 214,262.56, 295,684.80 and 118,770.88 is: 163,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,262.56 : 295,684.80 = 118,770.88 : x
  2. Step 2: Convert to fraction form
    214,262.56/295,684.80 = 118,770.88/x
  3. Step 3: Cross multiply
    214,262.56x = 295,684.80 × 118,770.88
  4. Step 4: Simplify right side
    214,262.56x = 35,118,743,898.62
  5. Step 5: Solve for x
    x = 35,118,743,898.62/214,262.56
  6. Step 6: Final answer
    x = 163,905.18

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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.