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Finding the Fourth Proportional to 202,137.64, 303,205.20 and 52,377.54

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Solution

The fourth proportional to 202,137.64, 303,205.20 and 52,377.54 is: 78,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,137.64 : 303,205.20 = 52,377.54 : x
  2. Step 2: Convert to fraction form
    202,137.64/303,205.20 = 52,377.54/x
  3. Step 3: Cross multiply
    202,137.64x = 303,205.20 × 52,377.54
  4. Step 4: Simplify right side
    202,137.64x = 15,881,142,491.21
  5. Step 5: Solve for x
    x = 15,881,142,491.21/202,137.64
  6. Step 6: Final answer
    x = 78,565.98

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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.