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Finding the Fourth Proportional to 202,614.72, 303,826.65 and 118,399.22

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Solution

The fourth proportional to 202,614.72, 303,826.65 and 118,399.22 is: 177,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,614.72 : 303,826.65 = 118,399.22 : x
  2. Step 2: Convert to fraction form
    202,614.72/303,826.65 = 118,399.22/x
  3. Step 3: Cross multiply
    202,614.72x = 303,826.65 × 118,399.22
  4. Step 4: Simplify right side
    202,614.72x = 35,972,837,551.43
  5. Step 5: Solve for x
    x = 35,972,837,551.43/202,614.72
  6. Step 6: Final answer
    x = 177,543.06

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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.