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Finding the Fourth Proportional to 202,513.80, 303,770.70 and 143,416.20

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Solution

The fourth proportional to 202,513.80, 303,770.70 and 143,416.20 is: 215,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,513.80 : 303,770.70 = 143,416.20 : x
  2. Step 2: Convert to fraction form
    202,513.80/303,770.70 = 143,416.20/x
  3. Step 3: Cross multiply
    202,513.80x = 303,770.70 × 143,416.20
  4. Step 4: Simplify right side
    202,513.80x = 43,565,639,465.34
  5. Step 5: Solve for x
    x = 43,565,639,465.34/202,513.80
  6. Step 6: Final answer
    x = 215,124.30

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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.