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Finding the Fourth Proportional to 202,132.40, 303,235.05 and 83,815.70

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Solution

The fourth proportional to 202,132.40, 303,235.05 and 83,815.70 is: 125,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,132.40 : 303,235.05 = 83,815.70 : x
  2. Step 2: Convert to fraction form
    202,132.40/303,235.05 = 83,815.70/x
  3. Step 3: Cross multiply
    202,132.40x = 303,235.05 × 83,815.70
  4. Step 4: Simplify right side
    202,132.40x = 25,415,857,980.29
  5. Step 5: Solve for x
    x = 25,415,857,980.29/202,132.40
  6. Step 6: Final answer
    x = 125,738.66

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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.