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Finding the Fourth Proportional to 256,138.68, 353,457 and 142,968.72

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Solution

The fourth proportional to 256,138.68, 353,457 and 142,968.72 is: 197,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,138.68 : 353,457 = 142,968.72 : x
  2. Step 2: Convert to fraction form
    256,138.68/353,457 = 142,968.72/x
  3. Step 3: Cross multiply
    256,138.68x = 353,457 × 142,968.72
  4. Step 4: Simplify right side
    256,138.68x = 50,533,294,865.04
  5. Step 5: Solve for x
    x = 50,533,294,865.04/256,138.68
  6. Step 6: Final answer
    x = 197,288.81

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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.