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Finding the Fourth Proportional to 256,052.46, 353,352.12 and 142,875.22

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Solution

The fourth proportional to 256,052.46, 353,352.12 and 142,875.22 is: 197,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,052.46 : 353,352.12 = 142,875.22 : x
  2. Step 2: Convert to fraction form
    256,052.46/353,352.12 = 142,875.22/x
  3. Step 3: Cross multiply
    256,052.46x = 353,352.12 × 142,875.22
  4. Step 4: Simplify right side
    256,052.46x = 50,485,261,882.47
  5. Step 5: Solve for x
    x = 50,485,261,882.47/256,052.46
  6. Step 6: Final answer
    x = 197,167.65

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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.