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Finding the Fourth Proportional to 202,177.86, 303,325.11 and 83,827.14

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Solution

The fourth proportional to 202,177.86, 303,325.11 and 83,827.14 is: 125,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,177.86 : 303,325.11 = 83,827.14 : x
  2. Step 2: Convert to fraction form
    202,177.86/303,325.11 = 83,827.14/x
  3. Step 3: Cross multiply
    202,177.86x = 303,325.11 × 83,827.14
  4. Step 4: Simplify right side
    202,177.86x = 25,426,876,461.49
  5. Step 5: Solve for x
    x = 25,426,876,461.49/202,177.86
  6. Step 6: Final answer
    x = 125,764.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.