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Finding the Fourth Proportional to 256,099.36, 353,382.96 and 148,668.16

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Solution

The fourth proportional to 256,099.36, 353,382.96 and 148,668.16 is: 205,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.36 : 353,382.96 = 148,668.16 : x
  2. Step 2: Convert to fraction form
    256,099.36/353,382.96 = 148,668.16/x
  3. Step 3: Cross multiply
    256,099.36x = 353,382.96 × 148,668.16
  4. Step 4: Simplify right side
    256,099.36x = 52,536,794,438.55
  5. Step 5: Solve for x
    x = 52,536,794,438.55/256,099.36
  6. Step 6: Final answer
    x = 205,142.23

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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.