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Finding the Fourth Proportional to 256,578.24, 354,088.92 and 143,401

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Solution

The fourth proportional to 256,578.24, 354,088.92 and 143,401 is: 197,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,578.24 : 354,088.92 = 143,401 : x
  2. Step 2: Convert to fraction form
    256,578.24/354,088.92 = 143,401/x
  3. Step 3: Cross multiply
    256,578.24x = 354,088.92 × 143,401
  4. Step 4: Simplify right side
    256,578.24x = 50,776,705,216.92
  5. Step 5: Solve for x
    x = 50,776,705,216.92/256,578.24
  6. Step 6: Final answer
    x = 197,899.50

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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.