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Finding the Fourth Proportional to 102,766.89, 154,045.92 and 69,490.74

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Solution

The fourth proportional to 102,766.89, 154,045.92 and 69,490.74 is: 104,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,766.89 : 154,045.92 = 69,490.74 : x
  2. Step 2: Convert to fraction form
    102,766.89/154,045.92 = 69,490.74/x
  3. Step 3: Cross multiply
    102,766.89x = 154,045.92 × 69,490.74
  4. Step 4: Simplify right side
    102,766.89x = 10,704,764,974.78
  5. Step 5: Solve for x
    x = 10,704,764,974.78/102,766.89
  6. Step 6: Final answer
    x = 104,165.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.