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Finding the Fourth Proportional to 202,470.60, 303,533.10 and 143,119.56

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Solution

The fourth proportional to 202,470.60, 303,533.10 and 143,119.56 is: 214,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,470.60 : 303,533.10 = 143,119.56 : x
  2. Step 2: Convert to fraction form
    202,470.60/303,533.10 = 143,119.56/x
  3. Step 3: Cross multiply
    202,470.60x = 303,533.10 × 143,119.56
  4. Step 4: Simplify right side
    202,470.60x = 43,441,523,717.44
  5. Step 5: Solve for x
    x = 43,441,523,717.44/202,470.60
  6. Step 6: Final answer
    x = 214,557.19

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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.