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Finding the Fourth Proportional to 197,084.09, 295,477.12 and 83,267.14

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Solution

The fourth proportional to 197,084.09, 295,477.12 and 83,267.14 is: 124,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,084.09 : 295,477.12 = 83,267.14 : x
  2. Step 2: Convert to fraction form
    197,084.09/295,477.12 = 83,267.14/x
  3. Step 3: Cross multiply
    197,084.09x = 295,477.12 × 83,267.14
  4. Step 4: Simplify right side
    197,084.09x = 24,603,534,168.87
  5. Step 5: Solve for x
    x = 24,603,534,168.87/197,084.09
  6. Step 6: Final answer
    x = 124,837.75

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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.