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Finding the Fourth Proportional to 202,163.68, 302,999.52 and 143,016.40

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Solution

The fourth proportional to 202,163.68, 302,999.52 and 143,016.40 is: 214,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,163.68 : 302,999.52 = 143,016.40 : x
  2. Step 2: Convert to fraction form
    202,163.68/302,999.52 = 143,016.40/x
  3. Step 3: Cross multiply
    202,163.68x = 302,999.52 × 143,016.40
  4. Step 4: Simplify right side
    202,163.68x = 43,333,900,552.13
  5. Step 5: Solve for x
    x = 43,333,900,552.13/202,163.68
  6. Step 6: Final answer
    x = 214,350.57

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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.