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Finding the Fourth Proportional to 202,916, 280,025.04 and 113,492

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Solution

The fourth proportional to 202,916, 280,025.04 and 113,492 is: 156,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,916 : 280,025.04 = 113,492 : x
  2. Step 2: Convert to fraction form
    202,916/280,025.04 = 113,492/x
  3. Step 3: Cross multiply
    202,916x = 280,025.04 × 113,492
  4. Step 4: Simplify right side
    202,916x = 31,780,601,839.68
  5. Step 5: Solve for x
    x = 31,780,601,839.68/202,916
  6. Step 6: Final answer
    x = 156,619.50

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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.