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Finding the Fourth Proportional to 143,804.16, 198,450.41 and 83,410.56

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Solution

The fourth proportional to 143,804.16, 198,450.41 and 83,410.56 is: 115,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,804.16 : 198,450.41 = 83,410.56 : x
  2. Step 2: Convert to fraction form
    143,804.16/198,450.41 = 83,410.56/x
  3. Step 3: Cross multiply
    143,804.16x = 198,450.41 × 83,410.56
  4. Step 4: Simplify right side
    143,804.16x = 16,552,859,413.28
  5. Step 5: Solve for x
    x = 16,552,859,413.28/143,804.16
  6. Step 6: Final answer
    x = 115,106.96

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1.5x scale

Why These Related Problems?

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