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Finding the Fourth Proportional to 256,082.92, 353,394.72 and 142,905.64

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Solution

The fourth proportional to 256,082.92, 353,394.72 and 142,905.64 is: 197,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,082.92 : 353,394.72 = 142,905.64 : x
  2. Step 2: Convert to fraction form
    256,082.92/353,394.72 = 142,905.64/x
  3. Step 3: Cross multiply
    256,082.92x = 353,394.72 × 142,905.64
  4. Step 4: Simplify right side
    256,082.92x = 50,502,098,634.22
  5. Step 5: Solve for x
    x = 50,502,098,634.22/256,082.92
  6. Step 6: Final answer
    x = 197,209.95

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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.