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Finding the Fourth Proportional to 214,326.76, 295,770.42 and 118,831

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Solution

The fourth proportional to 214,326.76, 295,770.42 and 118,831 is: 163,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,326.76 : 295,770.42 = 118,831 : x
  2. Step 2: Convert to fraction form
    214,326.76/295,770.42 = 118,831/x
  3. Step 3: Cross multiply
    214,326.76x = 295,770.42 × 118,831
  4. Step 4: Simplify right side
    214,326.76x = 35,146,694,779.02
  5. Step 5: Solve for x
    x = 35,146,694,779.02/214,326.76
  6. Step 6: Final answer
    x = 163,986.50

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