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Finding the Fourth Proportional to 256,749.06, 354,421.95 and 199,405.98

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Solution

The fourth proportional to 256,749.06, 354,421.95 and 199,405.98 is: 275,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,749.06 : 354,421.95 = 199,405.98 : x
  2. Step 2: Convert to fraction form
    256,749.06/354,421.95 = 199,405.98/x
  3. Step 3: Cross multiply
    256,749.06x = 354,421.95 × 199,405.98
  4. Step 4: Simplify right side
    256,749.06x = 70,673,856,273.26
  5. Step 5: Solve for x
    x = 70,673,856,273.26/256,749.06
  6. Step 6: Final answer
    x = 275,264.32

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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.