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Finding the Fourth Proportional to 202,515.60, 303,627.60 and 113,796.30

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Solution

The fourth proportional to 202,515.60, 303,627.60 and 113,796.30 is: 170,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,515.60 : 303,627.60 = 113,796.30 : x
  2. Step 2: Convert to fraction form
    202,515.60/303,627.60 = 113,796.30/x
  3. Step 3: Cross multiply
    202,515.60x = 303,627.60 × 113,796.30
  4. Step 4: Simplify right side
    202,515.60x = 34,551,697,457.88
  5. Step 5: Solve for x
    x = 34,551,697,457.88/202,515.60
  6. Step 6: Final answer
    x = 170,612.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.