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Finding the Fourth Proportional to 193,485.25, 290,205.98 and 67,102.16

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Solution

The fourth proportional to 193,485.25, 290,205.98 and 67,102.16 is: 100,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,485.25 : 290,205.98 = 67,102.16 : x
  2. Step 2: Convert to fraction form
    193,485.25/290,205.98 = 67,102.16/x
  3. Step 3: Cross multiply
    193,485.25x = 290,205.98 × 67,102.16
  4. Step 4: Simplify right side
    193,485.25x = 19,473,447,767.41
  5. Step 5: Solve for x
    x = 19,473,447,767.41/193,485.25
  6. Step 6: Final answer
    x = 100,645.65

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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.