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Finding the Fourth Proportional to 202,241.72, 303,401.60 and 77,573

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Solution

The fourth proportional to 202,241.72, 303,401.60 and 77,573 is: 116,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,241.72 : 303,401.60 = 77,573 : x
  2. Step 2: Convert to fraction form
    202,241.72/303,401.60 = 77,573/x
  3. Step 3: Cross multiply
    202,241.72x = 303,401.60 × 77,573
  4. Step 4: Simplify right side
    202,241.72x = 23,535,772,316.80
  5. Step 5: Solve for x
    x = 23,535,772,316.80/202,241.72
  6. Step 6: Final answer
    x = 116,374.47

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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.