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Finding the Fourth Proportional to 129,205.77, 193,808.65 and 40,466.22

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Solution

The fourth proportional to 129,205.77, 193,808.65 and 40,466.22 is: 60,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205.77 : 193,808.65 = 40,466.22 : x
  2. Step 2: Convert to fraction form
    129,205.77/193,808.65 = 40,466.22/x
  3. Step 3: Cross multiply
    129,205.77x = 193,808.65 × 40,466.22
  4. Step 4: Simplify right side
    129,205.77x = 7,842,702,716.73
  5. Step 5: Solve for x
    x = 7,842,702,716.73/129,205.77
  6. Step 6: Final answer
    x = 60,699.32

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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.