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Finding the Fourth Proportional to 202,602.81, 303,917.19 and 77,943.81

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Solution

The fourth proportional to 202,602.81, 303,917.19 and 77,943.81 is: 116,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,602.81 : 303,917.19 = 77,943.81 : x
  2. Step 2: Convert to fraction form
    202,602.81/303,917.19 = 77,943.81/x
  3. Step 3: Cross multiply
    202,602.81x = 303,917.19 × 77,943.81
  4. Step 4: Simplify right side
    202,602.81x = 23,688,463,713.09
  5. Step 5: Solve for x
    x = 23,688,463,713.09/202,602.81
  6. Step 6: Final answer
    x = 116,920.71

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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.