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Finding the Fourth Proportional to 214,025.40, 295,346.88 and 117,227.70

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Solution

The fourth proportional to 214,025.40, 295,346.88 and 117,227.70 is: 161,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,025.40 : 295,346.88 = 117,227.70 : x
  2. Step 2: Convert to fraction form
    214,025.40/295,346.88 = 117,227.70/x
  3. Step 3: Cross multiply
    214,025.40x = 295,346.88 × 117,227.70
  4. Step 4: Simplify right side
    214,025.40x = 34,622,835,444.58
  5. Step 5: Solve for x
    x = 34,622,835,444.58/214,025.40
  6. Step 6: Final answer
    x = 161,769.75

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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.