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Finding the Fourth Proportional to 122,033.99, 183,104.85 and 42,084.16

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Solution

The fourth proportional to 122,033.99, 183,104.85 and 42,084.16 is: 63,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,033.99 : 183,104.85 = 42,084.16 : x
  2. Step 2: Convert to fraction form
    122,033.99/183,104.85 = 42,084.16/x
  3. Step 3: Cross multiply
    122,033.99x = 183,104.85 × 42,084.16
  4. Step 4: Simplify right side
    122,033.99x = 7,705,813,504.23
  5. Step 5: Solve for x
    x = 7,705,813,504.23/122,033.99
  6. Step 6: Final answer
    x = 63,144.81

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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.