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Finding the Fourth Proportional to 147,037.70, 202,949.05 and 83,413.70

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Solution

The fourth proportional to 147,037.70, 202,949.05 and 83,413.70 is: 115,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,037.70 : 202,949.05 = 83,413.70 : x
  2. Step 2: Convert to fraction form
    147,037.70/202,949.05 = 83,413.70/x
  3. Step 3: Cross multiply
    147,037.70x = 202,949.05 × 83,413.70
  4. Step 4: Simplify right side
    147,037.70x = 16,928,731,171.99
  5. Step 5: Solve for x
    x = 16,928,731,171.99/147,037.70
  6. Step 6: Final answer
    x = 115,131.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.