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Finding the Fourth Proportional to 202,600.50, 303,913.71 and 77,941.50

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Solution

The fourth proportional to 202,600.50, 303,913.71 and 77,941.50 is: 116,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,600.50 : 303,913.71 = 77,941.50 : x
  2. Step 2: Convert to fraction form
    202,600.50/303,913.71 = 77,941.50/x
  3. Step 3: Cross multiply
    202,600.50x = 303,913.71 × 77,941.50
  4. Step 4: Simplify right side
    202,600.50x = 23,687,490,427.97
  5. Step 5: Solve for x
    x = 23,687,490,427.97/202,600.50
  6. Step 6: Final answer
    x = 116,917.24

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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.