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Finding the Fourth Proportional to 256,378.18, 353,809.03 and 141,664.25

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Solution

The fourth proportional to 256,378.18, 353,809.03 and 141,664.25 is: 195,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,378.18 : 353,809.03 = 141,664.25 : x
  2. Step 2: Convert to fraction form
    256,378.18/353,809.03 = 141,664.25/x
  3. Step 3: Cross multiply
    256,378.18x = 353,809.03 × 141,664.25
  4. Step 4: Simplify right side
    256,378.18x = 50,122,090,878.18
  5. Step 5: Solve for x
    x = 50,122,090,878.18/256,378.18
  6. Step 6: Final answer
    x = 195,500.61

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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.