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Finding the Fourth Proportional to 197,321.98, 295,933.76 and 77,403.30

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Solution

The fourth proportional to 197,321.98, 295,933.76 and 77,403.30 is: 116,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,321.98 : 295,933.76 = 77,403.30 : x
  2. Step 2: Convert to fraction form
    197,321.98/295,933.76 = 77,403.30/x
  3. Step 3: Cross multiply
    197,321.98x = 295,933.76 × 77,403.30
  4. Step 4: Simplify right side
    197,321.98x = 22,906,249,605.41
  5. Step 5: Solve for x
    x = 22,906,249,605.41/197,321.98
  6. Step 6: Final answer
    x = 116,085.65

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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.