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Finding the Fourth Proportional to 102,920.30, 154,299.80 and 40,637.42

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Solution

The fourth proportional to 102,920.30, 154,299.80 and 40,637.42 is: 60,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920.30 : 154,299.80 = 40,637.42 : x
  2. Step 2: Convert to fraction form
    102,920.30/154,299.80 = 40,637.42/x
  3. Step 3: Cross multiply
    102,920.30x = 154,299.80 × 40,637.42
  4. Step 4: Simplify right side
    102,920.30x = 6,270,345,778.52
  5. Step 5: Solve for x
    x = 6,270,345,778.52/102,920.30
  6. Step 6: Final answer
    x = 60,924.29

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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.