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Finding the Fourth Proportional to 100,922.40, 151,164.90 and 83,426.40

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Solution

The fourth proportional to 100,922.40, 151,164.90 and 83,426.40 is: 124,958.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,922.40 : 151,164.90 = 83,426.40 : x
  2. Step 2: Convert to fraction form
    100,922.40/151,164.90 = 83,426.40/x
  3. Step 3: Cross multiply
    100,922.40x = 151,164.90 × 83,426.40
  4. Step 4: Simplify right side
    100,922.40x = 12,611,143,413.36
  5. Step 5: Solve for x
    x = 12,611,143,413.36/100,922.40
  6. Step 6: Final answer
    x = 124,958.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.