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Finding the Fourth Proportional to 102,872.30, 154,281.45 and 43,677.50

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Solution

The fourth proportional to 102,872.30, 154,281.45 and 43,677.50 is: 65,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,872.30 : 154,281.45 = 43,677.50 : x
  2. Step 2: Convert to fraction form
    102,872.30/154,281.45 = 43,677.50/x
  3. Step 3: Cross multiply
    102,872.30x = 154,281.45 × 43,677.50
  4. Step 4: Simplify right side
    102,872.30x = 6,738,628,032.38
  5. Step 5: Solve for x
    x = 6,738,628,032.38/102,872.30
  6. Step 6: Final answer
    x = 65,504.79

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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.