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Finding the Fourth Proportional to 202,050.80, 303,732.30 and 143,293.40

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Solution

The fourth proportional to 202,050.80, 303,732.30 and 143,293.40 is: 215,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,050.80 : 303,732.30 = 143,293.40 : x
  2. Step 2: Convert to fraction form
    202,050.80/303,732.30 = 143,293.40/x
  3. Step 3: Cross multiply
    202,050.80x = 303,732.30 × 143,293.40
  4. Step 4: Simplify right side
    202,050.80x = 43,522,833,956.82
  5. Step 5: Solve for x
    x = 43,522,833,956.82/202,050.80
  6. Step 6: Final answer
    x = 215,405.40

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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.