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Finding the Fourth Proportional to 214,082.59, 295,434.02 and 117,286.88

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Solution

The fourth proportional to 214,082.59, 295,434.02 and 117,286.88 is: 161,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,082.59 : 295,434.02 = 117,286.88 : x
  2. Step 2: Convert to fraction form
    214,082.59/295,434.02 = 117,286.88/x
  3. Step 3: Cross multiply
    214,082.59x = 295,434.02 × 117,286.88
  4. Step 4: Simplify right side
    214,082.59x = 34,650,533,865.22
  5. Step 5: Solve for x
    x = 34,650,533,865.22/214,082.59
  6. Step 6: Final answer
    x = 161,855.92

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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.