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Finding the Fourth Proportional to 256,519.32, 353,996.10 and 143,342.07

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Solution

The fourth proportional to 256,519.32, 353,996.10 and 143,342.07 is: 197,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,519.32 : 353,996.10 = 143,342.07 : x
  2. Step 2: Convert to fraction form
    256,519.32/353,996.10 = 143,342.07/x
  3. Step 3: Cross multiply
    256,519.32x = 353,996.10 × 143,342.07
  4. Step 4: Simplify right side
    256,519.32x = 50,742,533,745.93
  5. Step 5: Solve for x
    x = 50,742,533,745.93/256,519.32
  6. Step 6: Final answer
    x = 197,811.74

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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.