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Finding the Fourth Proportional to 147,037.20, 202,948.36 and 83,413.20

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Solution

The fourth proportional to 147,037.20, 202,948.36 and 83,413.20 is: 115,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,037.20 : 202,948.36 = 83,413.20 : x
  2. Step 2: Convert to fraction form
    147,037.20/202,948.36 = 83,413.20/x
  3. Step 3: Cross multiply
    147,037.20x = 202,948.36 × 83,413.20
  4. Step 4: Simplify right side
    147,037.20x = 16,928,572,142.35
  5. Step 5: Solve for x
    x = 16,928,572,142.35/147,037.20
  6. Step 6: Final answer
    x = 115,131.22

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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.