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Finding the Fourth Proportional to 202,509.80, 303,764.70 and 143,412.20

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Solution

The fourth proportional to 202,509.80, 303,764.70 and 143,412.20 is: 215,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,509.80 : 303,764.70 = 143,412.20 : x
  2. Step 2: Convert to fraction form
    202,509.80/303,764.70 = 143,412.20/x
  3. Step 3: Cross multiply
    202,509.80x = 303,764.70 × 143,412.20
  4. Step 4: Simplify right side
    202,509.80x = 43,563,563,909.34
  5. Step 5: Solve for x
    x = 43,563,563,909.34/202,509.80
  6. Step 6: Final answer
    x = 215,118.30

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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.