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Finding the Fourth Proportional to 202,131.40, 303,233.55 and 83,814.70

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Solution

The fourth proportional to 202,131.40, 303,233.55 and 83,814.70 is: 125,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,131.40 : 303,233.55 = 83,814.70 : x
  2. Step 2: Convert to fraction form
    202,131.40/303,233.55 = 83,814.70/x
  3. Step 3: Cross multiply
    202,131.40x = 303,233.55 × 83,814.70
  4. Step 4: Simplify right side
    202,131.40x = 25,415,429,023.19
  5. Step 5: Solve for x
    x = 25,415,429,023.19/202,131.40
  6. Step 6: Final answer
    x = 125,737.16

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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.